diff --git a/api/krusty/generatormergeandreplace_test.go b/api/krusty/generatormergeandreplace_test.go
index 821dcc918..0dff5ae9b 100644
--- a/api/krusty/generatormergeandreplace_test.go
+++ b/api/krusty/generatormergeandreplace_test.go
@@ -453,6 +453,190 @@ metadata:
 `)
 }
 
+func TestMergeAndReplaceDisableNameSuffixHashGenerators(t *testing.T) {
+	th := kusttest_test.MakeHarness(t)
+	th.WriteK("app", `
+namePrefix: team-foo-
+commonLabels:
+  app: mynginx
+  org: example.com
+  team: foo
+commonAnnotations:
+  note: This is a test annotation
+resources:
+  - deployment.yaml
+configMapGenerator:
+- name: configmap-in-base
+  literals:
+  - foo=bar
+secretGenerator:
+- name: secret-in-base
+  literals:
+  - username=admin
+  - password=somepw
+`)
+	th.WriteF("app/deployment.yaml", `
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  name: nginx
+  labels:
+    app: nginx
+spec:
+  template:
+    metadata:
+      labels:
+        app: nginx
+    spec:
+      containers:
+      - name: nginx
+        image: nginx
+        volumeMounts:
+        - name: nginx-persistent-storage
+          mountPath: /tmp/ps
+      volumes:
+      - name: nginx-persistent-storage
+        emptyDir: {}
+      - configMap:
+          name: configmap-in-base
+        name: configmap-in-base
+`)
+	th.WriteF("overlay/deployment.yaml", `
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  name: nginx
+spec:
+  template:
+    spec:
+      volumes:
+      - name: nginx-persistent-storage
+        emptyDir: null
+        gcePersistentDisk:
+          pdName: nginx-persistent-storage
+      - configMap:
+          name: configmap-in-overlay
+        name: configmap-in-overlay
+`)
+	th.WriteK("overlay", `
+namePrefix: staging-
+commonLabels:
+  env: staging
+  team: override-foo
+patchesStrategicMerge:
+- deployment.yaml
+resources:
+- ../app
+configMapGenerator:
+- name: configmap-in-overlay
+  literals:
+  - hello=world
+  options:
+    disableNameSuffixHash: true
+- name: configmap-in-base
+  behavior: replace
+  literals:
+  - foo=override-bar
+  options:
+    disableNameSuffixHash: true
+secretGenerator:
+- name: secret-in-base
+  behavior: merge
+  literals:
+  - proxy=haproxy
+  options:
+    disableNameSuffixHash: true
+`)
+	m := th.Run("overlay", th.MakeDefaultOptions())
+	th.AssertActualEqualsExpected(m, `
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  annotations:
+    note: This is a test annotation
+  labels:
+    app: mynginx
+    env: staging
+    org: example.com
+    team: override-foo
+  name: staging-team-foo-nginx
+spec:
+  selector:
+    matchLabels:
+      app: mynginx
+      env: staging
+      org: example.com
+      team: override-foo
+  template:
+    metadata:
+      annotations:
+        note: This is a test annotation
+      labels:
+        app: mynginx
+        env: staging
+        org: example.com
+        team: override-foo
+    spec:
+      containers:
+      - image: nginx
+        name: nginx
+        volumeMounts:
+        - mountPath: /tmp/ps
+          name: nginx-persistent-storage
+      volumes:
+      - gcePersistentDisk:
+          pdName: nginx-persistent-storage
+        name: nginx-persistent-storage
+      - configMap:
+          name: staging-configmap-in-overlay
+        name: configmap-in-overlay
+      - configMap:
+          name: staging-team-foo-configmap-in-base
+        name: configmap-in-base
+---
+apiVersion: v1
+data:
+  foo: override-bar
+kind: ConfigMap
+metadata:
+  annotations:
+    note: This is a test annotation
+  labels:
+    app: mynginx
+    env: staging
+    org: example.com
+    team: override-foo
+  name: staging-team-foo-configmap-in-base
+---
+apiVersion: v1
+data:
+  password: c29tZXB3
+  proxy: aGFwcm94eQ==
+  username: YWRtaW4=
+kind: Secret
+metadata:
+  annotations:
+    note: This is a test annotation
+  labels:
+    app: mynginx
+    env: staging
+    org: example.com
+    team: override-foo
+  name: staging-team-foo-secret-in-base
+type: Opaque
+---
+apiVersion: v1
+data:
+  hello: world
+kind: ConfigMap
+metadata:
+  labels:
+    env: staging
+    team: override-foo
+  name: staging-configmap-in-overlay
+`)
+}
+
 func TestGeneratingIntoNamespaces(t *testing.T) {
 	th := kusttest_test.MakeHarness(t)
 	th.WriteK("app", `
diff --git a/api/krusty/generatoroptions_test.go b/api/krusty/generatoroptions_test.go
index 3a940b20e..2bb98ae7d 100644
--- a/api/krusty/generatoroptions_test.go
+++ b/api/krusty/generatoroptions_test.go
@@ -90,3 +90,47 @@ metadata:
   name: shouldHaveHash-c9867f8446
 `)
 }
+
+func TestGeneratorOptionsOverlayDisableNameSuffixHash(t *testing.T) {
+	th := kusttest_test.MakeHarness(t)
+	th.WriteK("base", `
+apiVersion: kustomize.config.k8s.io/v1beta1
+kind: Kustomization
+generatorOptions:
+  disableNameSuffixHash: false
+  labels:
+    foo: bar
+configMapGenerator:
+- name: baseShouldHaveHashButOverlayShouldNot
+  literals:
+  - foo=bar
+`)
+	th.WriteK("overlay", `
+apiVersion: kustomize.config.k8s.io/v1beta1
+kind: Kustomization
+resources:
+- ../base
+generatorOptions:
+  disableNameSuffixHash: true
+  labels:
+    fruit: apple
+configMapGenerator:
+- name: baseShouldHaveHashButOverlayShouldNot
+  behavior: merge
+  literals:
+  - fruit=apple
+`)
+	m := th.Run("overlay", th.MakeDefaultOptions())
+	th.AssertActualEqualsExpected(m, `
+apiVersion: v1
+data:
+  foo: bar
+  fruit: apple
+kind: ConfigMap
+metadata:
+  labels:
+    foo: bar
+    fruit: apple
+  name: baseShouldHaveHashButOverlayShouldNot
+`)
+}
diff --git a/api/resource/resource.go b/api/resource/resource.go
index a88ce31d2..ae1a98be0 100644
--- a/api/resource/resource.go
+++ b/api/resource/resource.go
@@ -164,10 +164,17 @@ func (r *Resource) CopyMergeMetaDataFieldsFrom(other *Resource) error {
 		mergeStringMaps(other.GetLabels(), r.GetLabels())); err != nil {
 		return fmt.Errorf("copyMerge cannot set labels - %w", err)
 	}
-	if err := r.SetAnnotations(
-		mergeStringMapsWithBuildAnnotations(other.GetAnnotations(), r.GetAnnotations())); err != nil {
+
+	ra := r.GetAnnotations()
+	_, enableNameSuffixHash := ra[utils.BuildAnnotationsGenAddHashSuffix]
+	merged := mergeStringMapsWithBuildAnnotations(other.GetAnnotations(), ra)
+	if !enableNameSuffixHash {
+		delete(merged, utils.BuildAnnotationsGenAddHashSuffix)
+	}
+	if err := r.SetAnnotations(merged); err != nil {
 		return fmt.Errorf("copyMerge cannot set annotations - %w", err)
 	}
+
 	if err := r.SetName(other.GetName()); err != nil {
 		return fmt.Errorf("copyMerge cannot set name - %w", err)
 	}