diff --git a/docs/data/api/select-trigger.json b/docs/data/api/select-trigger.json
index 92239a7615..f816e4ed5e 100644
--- a/docs/data/api/select-trigger.json
+++ b/docs/data/api/select-trigger.json
@@ -11,7 +11,10 @@
     "import { Select } from '@base_ui/react/Select';\nconst SelectTrigger = Select.Trigger;"
   ],
   "classes": [],
+  "spread": true,
+  "themeDefaultProps": true,
   "muiName": "SelectTrigger",
+  "forwardsRefTo": "HTMLDivElement",
   "filename": "/packages/mui-base/src/Select/Trigger/SelectTrigger.tsx",
   "inheritance": null,
   "demos": "<ul><li><a href=\"/components/react-select/\">Select</a></li></ul>",
diff --git a/packages/mui-base/src/Menu/Trigger/MenuTrigger.test.tsx b/packages/mui-base/src/Menu/Trigger/MenuTrigger.test.tsx
index 836cb1488e..3c199cc104 100644
--- a/packages/mui-base/src/Menu/Trigger/MenuTrigger.test.tsx
+++ b/packages/mui-base/src/Menu/Trigger/MenuTrigger.test.tsx
@@ -2,7 +2,7 @@ import * as React from 'react';
 import { expect } from 'chai';
 import { FloatingRootContext, FloatingTree } from '@floating-ui/react';
 import userEvent from '@testing-library/user-event';
-import { act } from '@mui/internal-test-utils';
+import { act, screen } from '@mui/internal-test-utils';
 import { Menu } from '@base_ui/react/Menu';
 import { describeConformance, createRenderer } from '#test-utils';
 import { MenuRootContext } from '../Root/MenuRootContext';
@@ -164,4 +164,23 @@ describe('<Menu.Trigger />', () => {
       expect(button).to.have.attribute('aria-expanded', 'true');
     });
   });
+
+  describe('style hooks', () => {
+    it('should have the data-popup-open and data-pressed attributes when open', async () => {
+      await render(
+        <Menu.Root animated={false}>
+          <Menu.Trigger />
+        </Menu.Root>,
+      );
+
+      const trigger = screen.getByRole('button');
+
+      await act(async () => {
+        trigger.click();
+      });
+
+      expect(trigger).to.have.attribute('data-popup-open');
+      expect(trigger).to.have.attribute('data-pressed');
+    });
+  });
 });
diff --git a/packages/mui-base/src/Menu/Trigger/MenuTrigger.tsx b/packages/mui-base/src/Menu/Trigger/MenuTrigger.tsx
index 4c800e0957..eb0ba70bef 100644
--- a/packages/mui-base/src/Menu/Trigger/MenuTrigger.tsx
+++ b/packages/mui-base/src/Menu/Trigger/MenuTrigger.tsx
@@ -4,7 +4,7 @@ import PropTypes from 'prop-types';
 import { useFloatingTree } from '@floating-ui/react';
 import { useMenuTrigger } from './useMenuTrigger';
 import { useMenuRootContext } from '../Root/MenuRootContext';
-import { triggerOpenStateMapping } from '../../utils/popupOpenStateMapping';
+import { pressableTriggerOpenStateMapping } from '../../utils/popupOpenStateMapping';
 import { useComponentRenderer } from '../../utils/useComponentRenderer';
 import { BaseUIComponentProps } from '../../utils/types';
 
@@ -52,7 +52,7 @@ const MenuTrigger = React.forwardRef(function MenuTrigger(
     className,
     ownerState,
     propGetter: (externalProps) => getTriggerProps(getRootProps(externalProps)),
-    customStyleHookMapping: triggerOpenStateMapping,
+    customStyleHookMapping: pressableTriggerOpenStateMapping,
     extraProps: other,
   });
 
diff --git a/packages/mui-base/src/Popover/Root/PopoverRoot.tsx b/packages/mui-base/src/Popover/Root/PopoverRoot.tsx
index 7a52ac417a..354645c25b 100644
--- a/packages/mui-base/src/Popover/Root/PopoverRoot.tsx
+++ b/packages/mui-base/src/Popover/Root/PopoverRoot.tsx
@@ -40,6 +40,7 @@ const PopoverRoot: React.FC<PopoverRoot.Props> = function PopoverRoot(props) {
     descriptionId,
     setDescriptionId,
     openMethod,
+    openReason,
   } = usePopoverRoot({
     openOnHover,
     delay: delayWithDefault,
@@ -73,6 +74,7 @@ const PopoverRoot: React.FC<PopoverRoot.Props> = function PopoverRoot(props) {
       getRootPopupProps,
       getRootTriggerProps,
       openMethod,
+      openReason,
     }),
     [
       openOnHover,
@@ -96,6 +98,7 @@ const PopoverRoot: React.FC<PopoverRoot.Props> = function PopoverRoot(props) {
       getRootPopupProps,
       getRootTriggerProps,
       openMethod,
+      openReason,
     ],
   );
 
diff --git a/packages/mui-base/src/Popover/Root/PopoverRootContext.ts b/packages/mui-base/src/Popover/Root/PopoverRootContext.ts
index 9efaa21b9d..7850e5e252 100644
--- a/packages/mui-base/src/Popover/Root/PopoverRootContext.ts
+++ b/packages/mui-base/src/Popover/Root/PopoverRootContext.ts
@@ -27,6 +27,7 @@ export interface PopoverRootContext {
   getRootTriggerProps: (externalProps?: GenericHTMLProps) => GenericHTMLProps;
   getRootPopupProps: (externalProps?: GenericHTMLProps) => GenericHTMLProps;
   openMethod: InteractionType | null;
+  openReason: OpenChangeReason | null;
 }
 
 export const PopoverRootContext = React.createContext<PopoverRootContext | undefined>(undefined);
diff --git a/packages/mui-base/src/Popover/Root/usePopoverRoot.ts b/packages/mui-base/src/Popover/Root/usePopoverRoot.ts
index d91198215c..4368f9173d 100644
--- a/packages/mui-base/src/Popover/Root/usePopoverRoot.ts
+++ b/packages/mui-base/src/Popover/Root/usePopoverRoot.ts
@@ -42,6 +42,7 @@ export function usePopoverRoot(params: usePopoverRoot.Parameters): usePopoverRoo
   const [descriptionId, setDescriptionId] = React.useState<string>();
   const [triggerElement, setTriggerElement] = React.useState<Element | null>(null);
   const [positionerElement, setPositionerElement] = React.useState<HTMLElement | null>(null);
+  const [openReason, setOpenReason] = React.useState<OpenChangeReason | null>(null);
 
   const popupRef = React.useRef<HTMLElement>(null);
 
@@ -69,6 +70,12 @@ export function usePopoverRoot(params: usePopoverRoot.Parameters): usePopoverRoo
           setMounted(false);
         }
       }
+
+      if (nextOpen) {
+        setOpenReason(reason ?? null);
+      } else {
+        setOpenReason(null);
+      }
     },
   );
 
@@ -138,6 +145,7 @@ export function usePopoverRoot(params: usePopoverRoot.Parameters): usePopoverRoo
       floatingRootContext: context,
       instantType,
       openMethod,
+      openReason,
     }),
     [
       mounted,
@@ -154,6 +162,7 @@ export function usePopoverRoot(params: usePopoverRoot.Parameters): usePopoverRoo
       instantType,
       openMethod,
       triggerProps,
+      openReason,
     ],
   );
 }
@@ -222,5 +231,6 @@ export namespace usePopoverRoot {
     setPositionerElement: React.Dispatch<React.SetStateAction<HTMLElement | null>>;
     popupRef: React.RefObject<HTMLElement | null>;
     openMethod: InteractionType | null;
+    openReason: OpenChangeReason | null;
   }
 }
diff --git a/packages/mui-base/src/Popover/Trigger/PopoverTrigger.test.tsx b/packages/mui-base/src/Popover/Trigger/PopoverTrigger.test.tsx
index 9bb0c77738..53b6e382f0 100644
--- a/packages/mui-base/src/Popover/Trigger/PopoverTrigger.test.tsx
+++ b/packages/mui-base/src/Popover/Trigger/PopoverTrigger.test.tsx
@@ -1,6 +1,8 @@
 import * as React from 'react';
 import { Popover } from '@base_ui/react/Popover';
 import { createRenderer, describeConformance } from '#test-utils';
+import { expect } from 'chai';
+import { act, screen } from '@mui/internal-test-utils';
 
 describe('<Popover.Trigger />', () => {
   const { render } = createRenderer();
@@ -15,4 +17,56 @@ describe('<Popover.Trigger />', () => {
       );
     },
   }));
+
+  describe('style hooks', () => {
+    it('should have the data-popup-open and data-pressed attributes when open by clicking', async () => {
+      await render(
+        <Popover.Root animated={false}>
+          <Popover.Trigger />
+        </Popover.Root>,
+      );
+
+      const trigger = screen.getByRole('button');
+
+      await act(async () => {
+        trigger.click();
+      });
+
+      expect(trigger).to.have.attribute('data-popup-open');
+      expect(trigger).to.have.attribute('data-pressed');
+    });
+
+    it('should have the data-popup-open but not the data-pressed attribute when open by hover', async () => {
+      const { user } = await render(
+        <Popover.Root openOnHover delay={0} animated={false}>
+          <Popover.Trigger />
+        </Popover.Root>,
+      );
+
+      const trigger = screen.getByRole('button');
+
+      await user.hover(trigger);
+
+      expect(trigger).to.have.attribute('data-popup-open');
+      expect(trigger).not.to.have.attribute('data-pressed');
+    });
+
+    it('should have the data-popup-open and data-pressed attributes when open by click when `openOnHover=true`', async () => {
+      const { user } = await render(
+        <Popover.Root openOnHover delay={0} animated={false}>
+          <Popover.Trigger />
+        </Popover.Root>,
+      );
+
+      const trigger = screen.getByRole('button');
+
+      await user.hover(trigger);
+      await act(async () => {
+        trigger.click();
+      });
+
+      expect(trigger).to.have.attribute('data-popup-open');
+      expect(trigger).to.have.attribute('data-pressed');
+    });
+  });
 });
diff --git a/packages/mui-base/src/Popover/Trigger/PopoverTrigger.tsx b/packages/mui-base/src/Popover/Trigger/PopoverTrigger.tsx
index 42906c985f..1d9057c2d1 100644
--- a/packages/mui-base/src/Popover/Trigger/PopoverTrigger.tsx
+++ b/packages/mui-base/src/Popover/Trigger/PopoverTrigger.tsx
@@ -5,7 +5,11 @@ import { usePopoverRootContext } from '../Root/PopoverRootContext';
 import { useComponentRenderer } from '../../utils/useComponentRenderer';
 import { useForkRef } from '../../utils/useForkRef';
 import type { BaseUIComponentProps } from '../../utils/types';
-import { triggerOpenStateMapping } from '../../utils/popupOpenStateMapping';
+import {
+  triggerOpenStateMapping,
+  pressableTriggerOpenStateMapping,
+} from '../../utils/popupOpenStateMapping';
+import { CustomStyleHookMapping } from '../../utils/getStyleHookProps';
 
 /**
  * Renders a trigger element that opens the popover.
@@ -24,12 +28,25 @@ const PopoverTrigger = React.forwardRef(function PopoverTrigger(
 ) {
   const { render, className, ...otherProps } = props;
 
-  const { open, setTriggerElement, getRootTriggerProps } = usePopoverRootContext();
+  const { open, setTriggerElement, getRootTriggerProps, openReason } = usePopoverRootContext();
 
   const ownerState: PopoverTrigger.OwnerState = React.useMemo(() => ({ open }), [open]);
 
   const mergedRef = useForkRef(forwardedRef, setTriggerElement);
 
+  const customStyleHookMapping: CustomStyleHookMapping<{ open: boolean }> = React.useMemo(
+    () => ({
+      open(value) {
+        if (value && openReason === 'click') {
+          return pressableTriggerOpenStateMapping.open(value);
+        }
+
+        return triggerOpenStateMapping.open(value);
+      },
+    }),
+    [openReason],
+  );
+
   const { renderElement } = useComponentRenderer({
     propGetter: getRootTriggerProps,
     render: render ?? 'button',
@@ -37,7 +54,7 @@ const PopoverTrigger = React.forwardRef(function PopoverTrigger(
     ownerState,
     ref: mergedRef,
     extraProps: otherProps,
-    customStyleHookMapping: triggerOpenStateMapping,
+    customStyleHookMapping,
   });
 
   return renderElement();
diff --git a/packages/mui-base/src/Select/Trigger/SelectTrigger.test.tsx b/packages/mui-base/src/Select/Trigger/SelectTrigger.test.tsx
new file mode 100644
index 0000000000..f4c0b1e8c9
--- /dev/null
+++ b/packages/mui-base/src/Select/Trigger/SelectTrigger.test.tsx
@@ -0,0 +1,39 @@
+import * as React from 'react';
+import { Select } from '@base_ui/react/Select';
+import { createRenderer, describeConformance } from '#test-utils';
+import { expect } from 'chai';
+import { act, screen } from '@mui/internal-test-utils';
+
+describe('<Select.Trigger />', () => {
+  const { render } = createRenderer();
+
+  describeConformance(<Select.Trigger />, () => ({
+    refInstanceof: window.HTMLDivElement,
+    render(node) {
+      return render(
+        <Select.Root open animated={false}>
+          {node}
+        </Select.Root>,
+      );
+    },
+  }));
+
+  describe('style hooks', () => {
+    it('should have the data-popup-open and data-pressed attributes when open', async () => {
+      await render(
+        <Select.Root animated={false}>
+          <Select.Trigger />
+        </Select.Root>,
+      );
+
+      const trigger = screen.getByRole('combobox');
+
+      await act(async () => {
+        trigger.click();
+      });
+
+      expect(trigger).to.have.attribute('data-popup-open');
+      expect(trigger).to.have.attribute('data-pressed');
+    });
+  });
+});
diff --git a/packages/mui-base/src/Select/Trigger/SelectTrigger.tsx b/packages/mui-base/src/Select/Trigger/SelectTrigger.tsx
index 909706b9ad..856ac0dbe5 100644
--- a/packages/mui-base/src/Select/Trigger/SelectTrigger.tsx
+++ b/packages/mui-base/src/Select/Trigger/SelectTrigger.tsx
@@ -6,7 +6,7 @@ import { useSelectRootContext } from '../Root/SelectRootContext';
 import { useComponentRenderer } from '../../utils/useComponentRenderer';
 import { BaseUIComponentProps } from '../../utils/types';
 import { useFieldRootContext } from '../../Field/Root/FieldRootContext';
-import { triggerOpenStateMapping } from '../../utils/popupOpenStateMapping';
+import { pressableTriggerOpenStateMapping } from '../../utils/popupOpenStateMapping';
 
 /**
  *
@@ -55,7 +55,7 @@ const SelectTrigger = React.forwardRef(function SelectTrigger(
     className,
     ownerState,
     propGetter: (externalProps) => getTriggerProps(getRootTriggerProps(externalProps)),
-    customStyleHookMapping: triggerOpenStateMapping,
+    customStyleHookMapping: pressableTriggerOpenStateMapping,
     extraProps: otherProps,
   });
 
diff --git a/packages/mui-base/src/utils/popupOpenStateMapping.ts b/packages/mui-base/src/utils/popupOpenStateMapping.ts
index a17d2248f4..07e4ef00fe 100644
--- a/packages/mui-base/src/utils/popupOpenStateMapping.ts
+++ b/packages/mui-base/src/utils/popupOpenStateMapping.ts
@@ -1,23 +1,41 @@
 import type { CustomStyleHookMapping } from './getStyleHookProps';
 
-export const triggerOpenStateMapping: CustomStyleHookMapping<{ open: boolean }> = {
+const TRIGGER_HOOK = {
+  'data-popup-open': '',
+};
+
+const PRESSABLE_TRIGGER_HOOK = {
+  'data-popup-open': '',
+  'data-pressed': '',
+};
+
+const POPUP_HOOK = {
+  'data-open': '',
+};
+
+export const triggerOpenStateMapping = {
   open(value) {
     if (value) {
-      return {
-        'data-popup-open': '',
-      };
+      return TRIGGER_HOOK;
     }
     return null;
   },
-};
+} satisfies CustomStyleHookMapping<{ open: boolean }>;
 
-export const popupOpenStateMapping: CustomStyleHookMapping<{ open: boolean }> = {
+export const pressableTriggerOpenStateMapping = {
   open(value) {
     if (value) {
-      return {
-        'data-open': '',
-      };
+      return PRESSABLE_TRIGGER_HOOK;
     }
     return null;
   },
-};
+} satisfies CustomStyleHookMapping<{ open: boolean }>;
+
+export const popupOpenStateMapping = {
+  open(value) {
+    if (value) {
+      return POPUP_HOOK;
+    }
+    return null;
+  },
+} satisfies CustomStyleHookMapping<{ open: boolean }>;