diff --git a/src/material-experimental/mdc-tabs/tab-group.html b/src/material-experimental/mdc-tabs/tab-group.html
index 8db3d19cd45b..e5cb0e22ab52 100644
--- a/src/material-experimental/mdc-tabs/tab-group.html
+++ b/src/material-experimental/mdc-tabs/tab-group.html
@@ -19,6 +19,7 @@
        [attr.aria-label]="tab.ariaLabel || null"
        [attr.aria-labelledby]="(!tab.ariaLabel && tab.ariaLabelledby) ? tab.ariaLabelledby : null"
        [class.mdc-tab--active]="selectedIndex == i"
+       [ngClass]="tab.labelClassList"
        [disabled]="tab.disabled"
        [fitInkBarToContent]="fitInkBarToContent"
        (click)="_handleClick(tab, tabHeader, i)"
@@ -36,12 +37,12 @@
     <span class="mdc-tab__content">
       <span class="mdc-tab__text-label">
         <!-- If there is a label template, use it. -->
-        <ng-template [ngIf]="tab.templateLabel">
+        <ng-template [ngIf]="tab.templateLabel" [ngIfElse]="tabTextLabel">
           <ng-template [cdkPortalOutlet]="tab.templateLabel"></ng-template>
         </ng-template>
 
         <!-- If there is not a label template, fall back to the text label. -->
-        <ng-template [ngIf]="!tab.templateLabel">{{tab.textLabel}}</ng-template>
+        <ng-template #tabTextLabel>{{tab.textLabel}}</ng-template>
       </span>
     </span>
   </div>
@@ -52,16 +53,17 @@
   [class._mat-animation-noopable]="_animationMode === 'NoopAnimations'"
   #tabBodyWrapper>
   <mat-tab-body role="tabpanel"
-               *ngFor="let tab of _tabs; let i = index"
-               [id]="_getTabContentId(i)"
-               [attr.tabindex]="(contentTabIndex != null && selectedIndex === i) ? contentTabIndex : null"
-               [attr.aria-labelledby]="_getTabLabelId(i)"
-               [class.mat-mdc-tab-body-active]="selectedIndex === i"
-               [content]="tab.content!"
-               [position]="tab.position!"
-               [origin]="tab.origin"
-               [animationDuration]="animationDuration"
-               (_onCentered)="_removeTabBodyWrapperHeight()"
-               (_onCentering)="_setTabBodyWrapperHeight($event)">
+                *ngFor="let tab of _tabs; let i = index"
+                [id]="_getTabContentId(i)"
+                [attr.tabindex]="(contentTabIndex != null && selectedIndex === i) ? contentTabIndex : null"
+                [attr.aria-labelledby]="_getTabLabelId(i)"
+                [class.mat-mdc-tab-body-active]="selectedIndex === i"
+                [ngClass]="tab.bodyClassList"
+                [content]="tab.content!"
+                [position]="tab.position!"
+                [origin]="tab.origin"
+                [animationDuration]="animationDuration"
+                (_onCentered)="_removeTabBodyWrapperHeight()"
+                (_onCentering)="_setTabBodyWrapperHeight($event)">
   </mat-tab-body>
 </div>
diff --git a/src/material-experimental/mdc-tabs/tab-group.spec.ts b/src/material-experimental/mdc-tabs/tab-group.spec.ts
index 4cdff1500a05..d6a6c4f207b8 100644
--- a/src/material-experimental/mdc-tabs/tab-group.spec.ts
+++ b/src/material-experimental/mdc-tabs/tab-group.spec.ts
@@ -1,6 +1,6 @@
 import {LEFT_ARROW} from '@angular/cdk/keycodes';
 import {dispatchFakeEvent, dispatchKeyboardEvent} from '../../cdk/testing/private';
-import {Component, OnInit, QueryList, ViewChild, ViewChildren} from '@angular/core';
+import {Component, DebugElement, OnInit, QueryList, ViewChild, ViewChildren} from '@angular/core';
 import {
   waitForAsync,
   ComponentFixture,
@@ -41,6 +41,7 @@ describe('MDC-based MatTabGroup', () => {
         TabGroupWithIndirectDescendantTabs,
         TabGroupWithSpaceAbove,
         NestedTabGroupWithLabel,
+        TabsWithClassesTestApp,
       ],
     });
 
@@ -364,7 +365,6 @@ describe('MDC-based MatTabGroup', () => {
 
       expect(contentElements.map(e => e.getAttribute('tabindex'))).toEqual(['1', null, null]);
     });
-
   });
 
   describe('aria labelling', () => {
@@ -409,6 +409,7 @@ describe('MDC-based MatTabGroup', () => {
 
   describe('disable tabs', () => {
     let fixture: ComponentFixture<DisabledTabsTestApp>;
+
     beforeEach(() => {
       fixture = TestBed.createComponent(DisabledTabsTestApp);
     });
@@ -482,7 +483,6 @@ describe('MDC-based MatTabGroup', () => {
         expect(tabs[0].origin).toBeLessThan(0);
     }));
 
-
     it('should update selected index if the last tab removed while selected', fakeAsync(() => {
       const component: MatTabGroup =
           fixture.debugElement.query(By.css('mat-tab-group')).componentInstance;
@@ -500,7 +500,6 @@ describe('MDC-based MatTabGroup', () => {
       expect(component.selectedIndex).toBe(numberOfTabs - 2);
     }));
 
-
     it('should maintain the selected tab if a new tab is added', () => {
       fixture.detectChanges();
       const component: MatTabGroup =
@@ -517,7 +516,6 @@ describe('MDC-based MatTabGroup', () => {
       expect(component._tabs.toArray()[2].isActive).toBe(true);
     });
 
-
     it('should maintain the selected tab if a tab is removed', () => {
       // Select the second tab.
       fixture.componentInstance.selectedIndex = 1;
@@ -565,7 +563,6 @@ describe('MDC-based MatTabGroup', () => {
 
       expect(fixture.componentInstance.handleSelection).not.toHaveBeenCalled();
     }));
-
   });
 
   describe('async tabs', () => {
@@ -756,6 +753,100 @@ describe('MDC-based MatTabGroup', () => {
     }));
   });
 
+  describe('tabs with custom css classes', () => {
+    let fixture: ComponentFixture<TabsWithClassesTestApp>;
+
+    beforeEach(() => {
+      fixture = TestBed.createComponent(TabsWithClassesTestApp);
+    });
+
+    it('should apply label classes', () => {
+      fixture.detectChanges();
+
+      const labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.hardcoded.label.classes'));
+      expect(labelElements.length).toBe(1);
+    });
+
+    it('should apply body classes', () => {
+      fixture.detectChanges();
+
+      const bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.hardcoded.body.classes'));
+      expect(bodyElements.length).toBe(1);
+    });
+
+    it('should set classes as strings dynamically', () => {
+      fixture.detectChanges();
+      let labelElements: DebugElement[];
+      let bodyElements: DebugElement[];
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+
+      fixture.componentInstance.labelClassList = 'custom-label-class one-more-label-class';
+      fixture.componentInstance.bodyClassList = 'custom-body-class one-more-body-class';
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(2);
+      expect(bodyElements.length).toBe(2);
+
+      delete fixture.componentInstance.labelClassList;
+      delete fixture.componentInstance.bodyClassList;
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+    });
+
+    it('should set classes as strings array dynamically', () => {
+      fixture.detectChanges();
+      let labelElements: DebugElement[];
+      let bodyElements: DebugElement[];
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+
+      fixture.componentInstance.labelClassList = ['custom-label-class', 'one-more-label-class'];
+      fixture.componentInstance.bodyClassList = ['custom-body-class', 'one-more-body-class'];
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(2);
+      expect(bodyElements.length).toBe(2);
+
+      delete fixture.componentInstance.labelClassList;
+      delete fixture.componentInstance.bodyClassList;
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+    });
+  });
+
   /**
    * Checks that the `selectedIndex` has been updated; checks that the label and body have their
    * respective `active` classes
@@ -935,6 +1026,7 @@ class SimpleTabsTestApp {
   animationDone() { }
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group"
@@ -965,6 +1057,7 @@ class SimpleDynamicTabsTestApp {
   }
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group" [(selectedIndex)]="selectedIndex">
@@ -990,8 +1083,8 @@ class BindedTabsTestApp {
   }
 }
 
+
 @Component({
-  selector: 'test-app',
   template: `
     <mat-tab-group class="tab-group">
       <mat-tab>
@@ -1014,6 +1107,7 @@ class DisabledTabsTestApp {
   isDisabled = false;
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group">
@@ -1059,7 +1153,6 @@ class TabGroupWithSimpleApi {
 
 
 @Component({
-  selector: 'nested-tabs',
   template: `
     <mat-tab-group>
       <mat-tab label="One">Tab one content</mat-tab>
@@ -1077,8 +1170,8 @@ class NestedTabs {
   @ViewChildren(MatTabGroup) groups: QueryList<MatTabGroup>;
 }
 
+
 @Component({
-  selector: 'template-tabs',
   template: `
     <mat-tab-group>
       <mat-tab label="One">
@@ -1091,11 +1184,11 @@ class NestedTabs {
       </mat-tab>
     </mat-tab-group>
   `,
- })
- class TemplateTabs {}
+})
+class TemplateTabs {}
 
 
- @Component({
+@Component({
   template: `
   <mat-tab-group>
     <mat-tab [aria-label]="ariaLabel" [aria-labelledby]="ariaLabelledby"></mat-tab>
@@ -1160,6 +1253,7 @@ class TabGroupWithInkBarFitToContent {
   fitInkBarToContent = true;
 }
 
+
 @Component({
   template: `
     <div style="height: 300px; background-color: aqua">
@@ -1202,3 +1296,31 @@ class TabGroupWithSpaceAbove {
 })
 class NestedTabGroupWithLabel {
 }
+
+
+@Component({
+  template: `
+    <mat-tab-group class="tab-group">
+      <mat-tab label="Tab One">
+        Tab one content
+      </mat-tab>
+      <mat-tab label="Tab Two" [class]="labelClassList">
+        Tab two content
+      </mat-tab>
+      <mat-tab label="Tab Three" [bodyClass]="bodyClassList">
+        Tab three content
+      </mat-tab>
+      <mat-tab label="Tab Four" [class]="labelClassList" [bodyClass]="bodyClassList">
+        Tab four content
+      </mat-tab>
+      <mat-tab label="Tab Five" class="hardcoded label classes" bodyClass="hardcoded body classes">
+        Tab five content
+      </mat-tab>
+    </mat-tab-group>
+  `,
+})
+class TabsWithClassesTestApp {
+  @ViewChildren(MatTab) tabs: QueryList<MatTab>;
+  labelClassList?: string | string[];
+  bodyClassList?: string | string[];
+}
diff --git a/src/material/tabs/tab-group.html b/src/material/tabs/tab-group.html
index 268ed3076d1e..f143dc6906b8 100644
--- a/src/material/tabs/tab-group.html
+++ b/src/material/tabs/tab-group.html
@@ -4,7 +4,8 @@
                [disablePagination]="disablePagination"
                (indexFocused)="_focusChanged($event)"
                (selectFocusedIndex)="selectedIndex = $event">
-  <div class="mat-tab-label mat-focus-indicator" role="tab" matTabLabelWrapper mat-ripple cdkMonitorElementFocus
+  <div class="mat-tab-label mat-focus-indicator" role="tab" matTabLabelWrapper mat-ripple
+       cdkMonitorElementFocus
        *ngFor="let tab of _tabs; let i = index"
        [id]="_getTabLabelId(i)"
        [attr.tabIndex]="_getTabIndex(tab, i)"
@@ -15,6 +16,7 @@
        [attr.aria-label]="tab.ariaLabel || null"
        [attr.aria-labelledby]="(!tab.ariaLabel && tab.ariaLabelledby) ? tab.ariaLabelledby : null"
        [class.mat-tab-label-active]="selectedIndex == i"
+       [ngClass]="tab.labelClassList"
        [disabled]="tab.disabled"
        [matRippleDisabled]="tab.disabled || disableRipple"
        (click)="_handleClick(tab, tabHeader, i)"
@@ -23,12 +25,12 @@
 
     <div class="mat-tab-label-content">
       <!-- If there is a label template, use it. -->
-      <ng-template [ngIf]="tab.templateLabel">
+      <ng-template [ngIf]="tab.templateLabel" [ngIfElse]="tabTextLabel">
         <ng-template [cdkPortalOutlet]="tab.templateLabel"></ng-template>
       </ng-template>
 
       <!-- If there is not a label template, fall back to the text label. -->
-      <ng-template [ngIf]="!tab.templateLabel">{{tab.textLabel}}</ng-template>
+      <ng-template #tabTextLabel>{{tab.textLabel}}</ng-template>
     </div>
   </div>
 </mat-tab-header>
@@ -38,16 +40,17 @@
   [class._mat-animation-noopable]="_animationMode === 'NoopAnimations'"
   #tabBodyWrapper>
   <mat-tab-body role="tabpanel"
-               *ngFor="let tab of _tabs; let i = index"
-               [id]="_getTabContentId(i)"
-               [attr.tabindex]="(contentTabIndex != null && selectedIndex === i) ? contentTabIndex : null"
-               [attr.aria-labelledby]="_getTabLabelId(i)"
-               [class.mat-tab-body-active]="selectedIndex === i"
-               [content]="tab.content!"
-               [position]="tab.position!"
-               [origin]="tab.origin"
-               [animationDuration]="animationDuration"
-               (_onCentered)="_removeTabBodyWrapperHeight()"
-               (_onCentering)="_setTabBodyWrapperHeight($event)">
+                *ngFor="let tab of _tabs; let i = index"
+                [id]="_getTabContentId(i)"
+                [attr.tabindex]="(contentTabIndex != null && selectedIndex === i) ? contentTabIndex : null"
+                [attr.aria-labelledby]="_getTabLabelId(i)"
+                [class.mat-tab-body-active]="selectedIndex === i"
+                [ngClass]="tab.bodyClassList"
+                [content]="tab.content!"
+                [position]="tab.position!"
+                [origin]="tab.origin"
+                [animationDuration]="animationDuration"
+                (_onCentered)="_removeTabBodyWrapperHeight()"
+                (_onCentering)="_setTabBodyWrapperHeight($event)">
   </mat-tab-body>
 </div>
diff --git a/src/material/tabs/tab-group.spec.ts b/src/material/tabs/tab-group.spec.ts
index 08198300588b..b4dccf0cec73 100644
--- a/src/material/tabs/tab-group.spec.ts
+++ b/src/material/tabs/tab-group.spec.ts
@@ -1,6 +1,6 @@
 import {LEFT_ARROW} from '@angular/cdk/keycodes';
 import {dispatchFakeEvent, dispatchKeyboardEvent} from '../../cdk/testing/private';
-import {Component, OnInit, QueryList, ViewChild, ViewChildren} from '@angular/core';
+import {Component, DebugElement, OnInit, QueryList, ViewChild, ViewChildren} from '@angular/core';
 import {
   waitForAsync,
   ComponentFixture,
@@ -41,6 +41,7 @@ describe('MatTabGroup', () => {
         TabGroupWithIndirectDescendantTabs,
         TabGroupWithSpaceAbove,
         NestedTabGroupWithLabel,
+        TabsWithClassesTestApp,
       ],
     });
 
@@ -363,7 +364,6 @@ describe('MatTabGroup', () => {
 
       expect(contentElements.map(e => e.getAttribute('tabindex'))).toEqual(['1', null, null]);
     });
-
   });
 
   describe('aria labelling', () => {
@@ -408,6 +408,7 @@ describe('MatTabGroup', () => {
 
   describe('disable tabs', () => {
     let fixture: ComponentFixture<DisabledTabsTestApp>;
+
     beforeEach(() => {
       fixture = TestBed.createComponent(DisabledTabsTestApp);
     });
@@ -481,7 +482,6 @@ describe('MatTabGroup', () => {
         expect(tabs[0].origin).toBeLessThan(0);
     }));
 
-
     it('should update selected index if the last tab removed while selected', fakeAsync(() => {
       const component: MatTabGroup =
           fixture.debugElement.query(By.css('mat-tab-group'))!.componentInstance;
@@ -499,7 +499,6 @@ describe('MatTabGroup', () => {
       expect(component.selectedIndex).toBe(numberOfTabs - 2);
     }));
 
-
     it('should maintain the selected tab if a new tab is added', () => {
       fixture.detectChanges();
       const component: MatTabGroup =
@@ -516,7 +515,6 @@ describe('MatTabGroup', () => {
       expect(component._tabs.toArray()[2].isActive).toBe(true);
     });
 
-
     it('should maintain the selected tab if a tab is removed', () => {
       // Select the second tab.
       fixture.componentInstance.selectedIndex = 1;
@@ -564,7 +562,6 @@ describe('MatTabGroup', () => {
 
       expect(fixture.componentInstance.handleSelection).not.toHaveBeenCalled();
     }));
-
   });
 
   describe('async tabs', () => {
@@ -756,6 +753,100 @@ describe('MatTabGroup', () => {
     }));
   });
 
+  describe('tabs with custom css classes', () => {
+    let fixture: ComponentFixture<TabsWithClassesTestApp>;
+
+    beforeEach(() => {
+      fixture = TestBed.createComponent(TabsWithClassesTestApp);
+    });
+
+    it('should apply label classes', () => {
+      fixture.detectChanges();
+
+      const labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.hardcoded.label.classes'));
+      expect(labelElements.length).toBe(1);
+    });
+
+    it('should apply body classes', () => {
+      fixture.detectChanges();
+
+      const bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.hardcoded.body.classes'));
+      expect(bodyElements.length).toBe(1);
+    });
+
+    it('should set classes as strings dynamically', () => {
+      fixture.detectChanges();
+      let labelElements: DebugElement[];
+      let bodyElements: DebugElement[];
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+
+      fixture.componentInstance.labelClassList = 'custom-label-class one-more-label-class';
+      fixture.componentInstance.bodyClassList = 'custom-body-class one-more-body-class';
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(2);
+      expect(bodyElements.length).toBe(2);
+
+      delete fixture.componentInstance.labelClassList;
+      delete fixture.componentInstance.bodyClassList;
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+    });
+
+    it('should set classes as strings array dynamically', () => {
+      fixture.detectChanges();
+      let labelElements: DebugElement[];
+      let bodyElements: DebugElement[];
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+
+      fixture.componentInstance.labelClassList = ['custom-label-class', 'one-more-label-class'];
+      fixture.componentInstance.bodyClassList = ['custom-body-class', 'one-more-body-class'];
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(2);
+      expect(bodyElements.length).toBe(2);
+
+      delete fixture.componentInstance.labelClassList;
+      delete fixture.componentInstance.bodyClassList;
+      fixture.detectChanges();
+
+      labelElements = fixture.debugElement
+        .queryAll(By.css('.mat-tab-label.custom-label-class.one-more-label-class'));
+      bodyElements = fixture.debugElement
+        .queryAll(By.css('mat-tab-body.custom-body-class.one-more-body-class'));
+      expect(labelElements.length).toBe(0);
+      expect(bodyElements.length).toBe(0);
+    });
+  });
+
   /**
    * Checks that the `selectedIndex` has been updated; checks that the label and body have their
    * respective `active` classes
@@ -881,6 +972,7 @@ class SimpleTabsTestApp {
   animationDone() { }
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group"
@@ -911,6 +1003,7 @@ class SimpleDynamicTabsTestApp {
   }
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group" [(selectedIndex)]="selectedIndex">
@@ -936,8 +1029,8 @@ class BindedTabsTestApp {
   }
 }
 
+
 @Component({
-  selector: 'test-app',
   template: `
     <mat-tab-group class="tab-group">
       <mat-tab>
@@ -960,6 +1053,7 @@ class DisabledTabsTestApp {
   isDisabled = false;
 }
 
+
 @Component({
   template: `
     <mat-tab-group class="tab-group">
@@ -1005,7 +1099,6 @@ class TabGroupWithSimpleApi {
 
 
 @Component({
-  selector: 'nested-tabs',
   template: `
     <mat-tab-group>
       <mat-tab label="One">Tab one content</mat-tab>
@@ -1023,8 +1116,8 @@ class NestedTabs {
   @ViewChildren(MatTabGroup) groups: QueryList<MatTabGroup>;
 }
 
+
 @Component({
-  selector: 'template-tabs',
   template: `
     <mat-tab-group>
       <mat-tab label="One">
@@ -1037,11 +1130,11 @@ class NestedTabs {
       </mat-tab>
     </mat-tab-group>
   `,
- })
- class TemplateTabs {}
+})
+class TemplateTabs {}
 
 
- @Component({
+@Component({
   template: `
   <mat-tab-group>
     <mat-tab [aria-label]="ariaLabel" [aria-labelledby]="ariaLabelledby"></mat-tab>
@@ -1093,6 +1186,7 @@ class TabGroupWithIndirectDescendantTabs {
   @ViewChild(MatTabGroup) tabGroup: MatTabGroup;
 }
 
+
 @Component({
   template: `
     <div style="height: 300px; background-color: aqua">
@@ -1135,3 +1229,31 @@ class TabGroupWithSpaceAbove {
 })
 class NestedTabGroupWithLabel {
 }
+
+
+@Component({
+  template: `
+    <mat-tab-group class="tab-group">
+      <mat-tab label="Tab One">
+        Tab one content
+      </mat-tab>
+      <mat-tab label="Tab Two" [class]="labelClassList">
+        Tab two content
+      </mat-tab>
+      <mat-tab label="Tab Three" [bodyClass]="bodyClassList">
+        Tab three content
+      </mat-tab>
+      <mat-tab label="Tab Four" [class]="labelClassList" [bodyClass]="bodyClassList">
+        Tab four content
+      </mat-tab>
+      <mat-tab label="Tab Five" class="hardcoded label classes" bodyClass="hardcoded body classes">
+        Tab five content
+      </mat-tab>
+    </mat-tab-group>
+  `,
+})
+class TabsWithClassesTestApp {
+  @ViewChildren(MatTab) tabs: QueryList<MatTab>;
+  labelClassList?: string | string[];
+  bodyClassList?: string | string[];
+}
diff --git a/src/material/tabs/tab.ts b/src/material/tabs/tab.ts
index 775842436b16..dfceb0d077c2 100644
--- a/src/material/tabs/tab.ts
+++ b/src/material/tabs/tab.ts
@@ -6,7 +6,7 @@
  * found in the LICENSE file at https://angular.io/license
  */
 
-import {BooleanInput} from '@angular/cdk/coercion';
+import {BooleanInput, coerceStringArray} from '@angular/cdk/coercion';
 import {TemplatePortal} from '@angular/cdk/portal';
 import {
   ChangeDetectionStrategy,
@@ -79,6 +79,40 @@ export class MatTab extends _MatTabBase implements OnInit, CanDisable, OnChanges
    */
   @Input('aria-labelledby') ariaLabelledby: string;
 
+  /**
+   * Takes classes set on the host mat-tab element and applies them to the tab
+   * label inside the mat-tab-header container to allow for easy styling.
+   */
+  @Input('class')
+  set labelClass(value: string | string[]) {
+    if (value && value.length) {
+      this.labelClassList = coerceStringArray(value).reduce((classList, className) => {
+        classList[className] = true;
+        return classList;
+      }, {} as {[key: string]: boolean});
+    } else {
+      this.labelClassList = {};
+    }
+  }
+  labelClassList: {[key: string]: boolean} = {};
+
+  /**
+   * Takes classes set on the host mat-tab element and applies them to the tab
+   * label inside the mat-tab-body container to allow for easy styling.
+   */
+  @Input()
+  set bodyClass(value: string | string[]) {
+    if (value && value.length) {
+      this.bodyClassList = coerceStringArray(value).reduce((classList, className) => {
+        classList[className] = true;
+        return classList;
+      }, {} as {[key: string]: boolean});
+    } else {
+      this.bodyClassList = {};
+    }
+  }
+  bodyClassList: {[key: string]: boolean} = {};
+
   /** Portal that will be the hosted content of the tab */
   private _contentPortal: TemplatePortal | null = null;
 
diff --git a/tools/public_api_guard/material/tabs.md b/tools/public_api_guard/material/tabs.md
index c7e52a211b57..c7c616ff744d 100644
--- a/tools/public_api_guard/material/tabs.md
+++ b/tools/public_api_guard/material/tabs.md
@@ -101,12 +101,22 @@ export class MatTab extends _MatTabBase implements OnInit, CanDisable, OnChanges
     constructor(_viewContainerRef: ViewContainerRef, _closestTabGroup: any);
     ariaLabel: string;
     ariaLabelledby: string;
+    set bodyClass(value: string | string[]);
+    // (undocumented)
+    bodyClassList: {
+        [key: string]: boolean;
+    };
     // (undocumented)
     _closestTabGroup: any;
     get content(): TemplatePortal | null;
     _explicitContent: TemplateRef<any>;
     _implicitContent: TemplateRef<any>;
     isActive: boolean;
+    set labelClass(value: string | string[]);
+    // (undocumented)
+    labelClassList: {
+        [key: string]: boolean;
+    };
     // (undocumented)
     static ngAcceptInputType_disabled: BooleanInput;
     // (undocumented)
@@ -125,7 +135,7 @@ export class MatTab extends _MatTabBase implements OnInit, CanDisable, OnChanges
     protected _templateLabel: MatTabLabel;
     textLabel: string;
     // (undocumented)
-    static ɵcmp: i0.ɵɵComponentDeclaration<MatTab, "mat-tab", ["matTab"], { "disabled": "disabled"; "textLabel": "label"; "ariaLabel": "aria-label"; "ariaLabelledby": "aria-labelledby"; }, {}, ["templateLabel", "_explicitContent"], ["*"]>;
+    static ɵcmp: i0.ɵɵComponentDeclaration<MatTab, "mat-tab", ["matTab"], { "disabled": "disabled"; "textLabel": "label"; "ariaLabel": "aria-label"; "ariaLabelledby": "aria-labelledby"; "labelClass": "class"; "bodyClass": "bodyClass"; }, {}, ["templateLabel", "_explicitContent"], ["*"]>;
     // (undocumented)
     static ɵfac: i0.ɵɵFactoryDeclaration<MatTab, [null, { optional: true; }]>;
 }