diff --git a/google/resource_compute_region_backend_service.go b/google/resource_compute_region_backend_service.go
index 682cd0fabb9..d81e870d275 100644
--- a/google/resource_compute_region_backend_service.go
+++ b/google/resource_compute_region_backend_service.go
@@ -103,6 +103,12 @@ func resourceComputeRegionBackendService() *schema.Resource {
 				Optional: true,
 				Computed: true,
 			},
+
+			"connection_draining_timeout_sec": &schema.Schema{
+				Type:     schema.TypeInt,
+				Optional: true,
+				Default:  0,
+			},
 		},
 	}
 }
@@ -142,6 +148,14 @@ func resourceComputeRegionBackendServiceCreate(d *schema.ResourceData, meta inte
 		service.TimeoutSec = int64(v.(int))
 	}
 
+	if v, ok := d.GetOk("connection_draining_timeout_sec"); ok {
+		connectionDraining := &compute.ConnectionDraining{
+			DrainingTimeoutSec: int64(v.(int)),
+		}
+
+		service.ConnectionDraining = connectionDraining
+	}
+
 	project, err := getProject(d, config)
 	if err != nil {
 		return err
@@ -195,9 +209,9 @@ func resourceComputeRegionBackendServiceRead(d *schema.ResourceData, meta interf
 	d.Set("protocol", service.Protocol)
 	d.Set("session_affinity", service.SessionAffinity)
 	d.Set("timeout_sec", service.TimeoutSec)
+	d.Set("connection_draining_timeout_sec", service.ConnectionDraining.DrainingTimeoutSec)
 	d.Set("fingerprint", service.Fingerprint)
 	d.Set("self_link", service.SelfLink)
-
 	d.Set("backend", flattenBackends(service.Backends))
 	d.Set("health_checks", service.HealthChecks)
 
@@ -247,6 +261,14 @@ func resourceComputeRegionBackendServiceUpdate(d *schema.ResourceData, meta inte
 		service.TimeoutSec = int64(v.(int))
 	}
 
+	if d.HasChange("connection_draining_timeout_sec") {
+		connectionDraining := &compute.ConnectionDraining{
+			DrainingTimeoutSec: int64(d.Get("connection_draining_timeout_sec").(int)),
+		}
+
+		service.ConnectionDraining = connectionDraining
+	}
+
 	log.Printf("[DEBUG] Updating existing Backend Service %q: %#v", d.Id(), service)
 	op, err := config.clientCompute.RegionBackendServices.Update(
 		project, region, d.Id(), &service).Do()
diff --git a/google/resource_compute_region_backend_service_test.go b/google/resource_compute_region_backend_service_test.go
index 2abd764732e..f53266dd44b 100644
--- a/google/resource_compute_region_backend_service_test.go
+++ b/google/resource_compute_region_backend_service_test.go
@@ -114,6 +114,63 @@ func TestAccComputeRegionBackendService_withBackendAndUpdate(t *testing.T) {
 	}
 }
 
+func TestAccComputeRegionBackendService_withConnectionDraining(t *testing.T) {
+	serviceName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
+	checkName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
+	var svc compute.BackendService
+
+	resource.Test(t, resource.TestCase{
+		PreCheck:     func() { testAccPreCheck(t) },
+		Providers:    testAccProviders,
+		CheckDestroy: testAccCheckComputeRegionBackendServiceDestroy,
+		Steps: []resource.TestStep{
+			resource.TestStep{
+				Config: testAccComputeRegionBackendService_withConnectionDraining(serviceName, checkName, 10),
+				Check: resource.ComposeTestCheckFunc(
+					testAccCheckComputeRegionBackendServiceExists(
+						"google_compute_region_backend_service.foobar", &svc),
+				),
+			},
+		},
+	})
+
+	if svc.ConnectionDraining.DrainingTimeoutSec != 10 {
+		t.Errorf("Expected ConnectionDraining.DrainingTimeoutSec == 10, got %d", svc.ConnectionDraining.DrainingTimeoutSec)
+	}
+}
+
+func TestAccComputeRegionBackendService_withConnectionDrainingAndUpdate(t *testing.T) {
+	serviceName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
+	checkName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
+	var svc compute.BackendService
+
+	resource.Test(t, resource.TestCase{
+		PreCheck:     func() { testAccPreCheck(t) },
+		Providers:    testAccProviders,
+		CheckDestroy: testAccCheckComputeRegionBackendServiceDestroy,
+		Steps: []resource.TestStep{
+			resource.TestStep{
+				Config: testAccComputeRegionBackendService_withConnectionDraining(serviceName, checkName, 10),
+				Check: resource.ComposeTestCheckFunc(
+					testAccCheckComputeRegionBackendServiceExists(
+						"google_compute_region_backend_service.foobar", &svc),
+				),
+			},
+			resource.TestStep{
+				Config: testAccComputeRegionBackendService_basic(serviceName, checkName),
+				Check: resource.ComposeTestCheckFunc(
+					testAccCheckComputeRegionBackendServiceExists(
+						"google_compute_region_backend_service.foobar", &svc),
+				),
+			},
+		},
+	})
+
+	if svc.ConnectionDraining.DrainingTimeoutSec != 0 {
+		t.Errorf("Expected ConnectionDraining.DrainingTimeoutSec == 0, got %d", svc.ConnectionDraining.DrainingTimeoutSec)
+	}
+}
+
 func TestAccComputeRegionBackendService_withSessionAffinity(t *testing.T) {
 	serviceName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
 	checkName := fmt.Sprintf("tf-test-%s", acctest.RandString(10))
@@ -308,3 +365,24 @@ resource "google_compute_health_check" "zero" {
 }
 `, serviceName, checkName)
 }
+
+func testAccComputeRegionBackendService_withConnectionDraining(serviceName, checkName string, drainingTimeout int64) string {
+	return fmt.Sprintf(`
+resource "google_compute_region_backend_service" "foobar" {
+  name                  = "%s"
+  health_checks         = ["${google_compute_health_check.zero.self_link}"]
+  region                = "us-central1"
+  connection_draining_timeout_sec = %v
+}
+
+resource "google_compute_health_check" "zero" {
+  name               = "%s"
+  check_interval_sec = 1
+  timeout_sec        = 1
+
+  tcp_health_check {
+    port = "80"
+  }
+}
+`, serviceName, drainingTimeout, checkName)
+}
diff --git a/website/docs/r/compute_region_backend_service.html.markdown b/website/docs/r/compute_region_backend_service.html.markdown
index a54ee2b7b74..d7437000965 100644
--- a/website/docs/r/compute_region_backend_service.html.markdown
+++ b/website/docs/r/compute_region_backend_service.html.markdown
@@ -14,7 +14,7 @@ and [API](https://cloud.google.com/compute/docs/reference/latest/backendServices
 
 ## Example Usage
 
-```tf
+```hcl
 resource "google_compute_region_backend_service" "foobar" {
   name             = "blablah"
   description      = "Hello World 1234"
@@ -95,6 +95,8 @@ The following arguments are supported:
 * `timeout_sec` - (Optional) The number of secs to wait for a backend to respond
     to a request before considering the request failed. Defaults to `30`.
 
+* `connection_draining_timeout_sec` - (Optional) Time for which instance will be drained
+(not accept new connections, but still work to finish started ones). Defaults to `0`.
 
 The `backend` block supports: