diff --git a/kustomize/go.sum b/kustomize/go.sum
index 79a60710e..ced81f635 100644
--- a/kustomize/go.sum
+++ b/kustomize/go.sum
@@ -596,6 +596,7 @@ sigs.k8s.io/kustomize v2.0.3+incompatible h1:JUufWFNlI44MdtnjUqVnvh29rR37PQFzPbL
 sigs.k8s.io/kustomize v2.0.3+incompatible/go.mod h1:MkjgH3RdOWrievjo6c9T245dYlB5QeXV4WCbnt/PEpU=
 sigs.k8s.io/kustomize/api v0.3.0 h1:e7Erw2n8lT8+IWUukktozF0bgWwH2fFC+qsXP0gabg0=
 sigs.k8s.io/kustomize/api v0.3.0/go.mod h1:4jaPCtRzxfQLFdYq4gYo40dBGW1hyPp/f4AuiZB5dAQ=
+sigs.k8s.io/kustomize/api v0.3.1 h1:oqMIXvS6tFEUVuKIRUKDa05eC4Hh+cb9JYg8Zhp2d24=
 sigs.k8s.io/kustomize/api v0.3.1/go.mod h1:A+ATnlHqzictQfQC1q3KB/T6MSr0UWQsrrLxMWkge2E=
 sigs.k8s.io/kustomize/cmd/config v0.0.2 h1:FphfIoGJ0jGGJJXq9WoG5sqqEIuTeDGx58E5NWHV8Hc=
 sigs.k8s.io/kustomize/cmd/config v0.0.2/go.mod h1:c6IBoPpAAm5a2aD+0iH8IfeyCF5GPsY5Ws57Dwpcvg0=
diff --git a/kyaml/kio/filters/container.go b/kyaml/kio/filters/container.go
index a45e96a89..bdf33d849 100644
--- a/kyaml/kio/filters/container.go
+++ b/kyaml/kio/filters/container.go
@@ -197,6 +197,13 @@ func GetContainerName(n *yaml.RNode) (string, string) {
 	// path to the function, this will be mounted into the container
 	path := meta.Annotations[kioutil.PathAnnotation]
 
+	functionAnnotation := meta.Annotations["config.k8s.io/function"]
+	if functionAnnotation != "" {
+		annotationContent, _ := yaml.Parse(functionAnnotation)
+		image, _ := annotationContent.Pipe(yaml.Lookup("container", "image"))
+		return image.YNode().Value, path
+	}
+
 	container := meta.Annotations["config.kubernetes.io/container"]
 	if container != "" {
 		return container, path
diff --git a/kyaml/kio/filters/container_test.go b/kyaml/kio/filters/container_test.go
index b17769f6f..81fd7d8bf 100644
--- a/kyaml/kio/filters/container_test.go
+++ b/kyaml/kio/filters/container_test.go
@@ -316,7 +316,7 @@ metadata:
 	c, _ := GetContainerName(n)
 	assert.Equal(t, "gcr.io/foo/bar:something", c)
 
-	// container from annotation
+	// container from config.kubernetes.io/container annotation
 	n, err = yaml.Parse(`apiVersion: v1
 kind: MyThing
 metadata:
@@ -329,6 +329,21 @@ metadata:
 	c, _ = GetContainerName(n)
 	assert.Equal(t, "gcr.io/foo/bar:something", c)
 
+	// container from config.k8s.io/function annotation
+	n, err = yaml.Parse(`apiVersion: v1
+kind: MyThing
+metadata:
+  annotations:
+    config.k8s.io/function: |
+      container:
+        image: gcr.io/foo/bar:something
+`)
+	if !assert.NoError(t, err) {
+		return
+	}
+	c, _ = GetContainerName(n)
+	assert.Equal(t, "gcr.io/foo/bar:something", c)
+
 	// doesn't have a container
 	n, err = yaml.Parse(`apiVersion: v1
 kind: MyThing