diff --git a/charts/cloudnative-pg/templates/deployment.yaml b/charts/cloudnative-pg/templates/deployment.yaml
index c17e6a7493..76b0c52496 100644
--- a/charts/cloudnative-pg/templates/deployment.yaml
+++ b/charts/cloudnative-pg/templates/deployment.yaml
@@ -81,6 +81,8 @@ spec:
         command:
         - /manager
         env:
+        - name: DEPLOYMENT_LABEL_SELECTOR
+          value: "app.kubernetes.io/name={{ include "cloudnative-pg.name" . }}"
         - name: OPERATOR_IMAGE_NAME
           value: "{{ .Values.image.repository }}:{{ .Values.image.tag | default .Chart.AppVersion }}"
         - name: OPERATOR_NAMESPACE