diff --git a/airflow/kubernetes/pod_generator.py b/airflow/kubernetes/pod_generator.py
index fb3e2552c9130..a91f16c4aa537 100644
--- a/airflow/kubernetes/pod_generator.py
+++ b/airflow/kubernetes/pod_generator.py
@@ -134,6 +134,8 @@ class PodGenerator:
     :type pod_template_file: Optional[str]
     :param extract_xcom: Whether to bring up a container for xcom
     :type extract_xcom: bool
+    :param priority_class_name: priority class name for the launched Pod
+    :type priority_class_name: str
     """
     def __init__(  # pylint: disable=too-many-arguments,too-many-locals
         self,
@@ -165,6 +167,7 @@ def __init__(  # pylint: disable=too-many-arguments,too-many-locals
         pod: Optional[k8s.V1Pod] = None,
         pod_template_file: Optional[str] = None,
         extract_xcom: bool = False,
+        priority_class_name: Optional[str] = None,
     ):
         self.validate_pod_generator_args(locals())
 
@@ -228,6 +231,7 @@ def __init__(  # pylint: disable=too-many-arguments,too-many-locals
         self.spec.volumes = volumes or []
         self.spec.node_selector = node_selectors
         self.spec.restart_policy = restart_policy
+        self.spec.priority_class_name = priority_class_name
 
         self.spec.image_pull_secrets = []
 
diff --git a/airflow/providers/cncf/kubernetes/operators/kubernetes_pod.py b/airflow/providers/cncf/kubernetes/operators/kubernetes_pod.py
index 1b64412b14f1b..b54979ab55937 100644
--- a/airflow/providers/cncf/kubernetes/operators/kubernetes_pod.py
+++ b/airflow/providers/cncf/kubernetes/operators/kubernetes_pod.py
@@ -136,6 +136,8 @@ class KubernetesPodOperator(BaseOperator):  # pylint: disable=too-many-instance-
     :type do_xcom_push: bool
     :param pod_template_file: path to pod template file
     :type pod_template_file: str
+    :param priority_class_name: priority class name for the launched Pod
+    :type priority_class_name: str
     """
     template_fields = ('cmds', 'arguments', 'env_vars', 'config_file', 'pod_template_file')
 
@@ -177,6 +179,7 @@ def __init__(self,  # pylint: disable=too-many-arguments,too-many-locals
                  log_events_on_failure: bool = False,
                  do_xcom_push: bool = False,
                  pod_template_file: Optional[str] = None,
+                 priority_class_name: Optional[str] = None,
                  *args,
                  **kwargs):
         if kwargs.get('xcom_push') is not None:
@@ -218,6 +221,7 @@ def __init__(self,  # pylint: disable=too-many-arguments,too-many-locals
         self.full_pod_spec = full_pod_spec
         self.init_containers = init_containers or []
         self.log_events_on_failure = log_events_on_failure
+        self.priority_class_name = priority_class_name
         self.pod_template_file = pod_template_file
         self.name = self._set_name(name)
 
@@ -263,8 +267,9 @@ def execute(self, context):
                 schedulername=self.schedulername,
                 init_containers=self.init_containers,
                 restart_policy='Never',
+                priority_class_name=self.priority_class_name,
                 pod_template_file=self.pod_template_file,
-                pod=self.full_pod_spec
+                pod=self.full_pod_spec,
             ).gen_pod()
 
             pod = append_to_pod(
diff --git a/docs/howto/operator/kubernetes.rst b/docs/howto/operator/kubernetes.rst
index 35f3cae388ad7..c821acaa954eb 100644
--- a/docs/howto/operator/kubernetes.rst
+++ b/docs/howto/operator/kubernetes.rst
@@ -161,4 +161,5 @@ The :class:`airflow.providers.cncf.kubernetes.operators.kubernetes_pod.Kubernete
                               tolerations=tolerations,
                               configmaps=configmaps,
                               init_containers=[init_container],
+                              priority_class_name="medium",
                               )
diff --git a/tests/runtime/kubernetes/test_kubernetes_pod_operator.py b/tests/runtime/kubernetes/test_kubernetes_pod_operator.py
index 21566de99a103..5045f4e53c250 100644
--- a/tests/runtime/kubernetes/test_kubernetes_pod_operator.py
+++ b/tests/runtime/kubernetes/test_kubernetes_pod_operator.py
@@ -787,6 +787,34 @@ def test_pod_template_file(self, mock_client, launcher_mock):
             }
         }, actual_pod)
 
+    @mock.patch("airflow.kubernetes.pod_launcher.PodLauncher.run_pod")
+    @mock.patch("airflow.kubernetes.kube_client.get_kube_client")
+    def test_pod_priority_class_name(self, mock_client, launcher_mock):
+        """Test ability to assign priorityClassName to pod
+
+        """
+        from airflow.utils.state import State
+
+        priority_class_name = "medium-test"
+        k = KubernetesPodOperator(
+            namespace='default',
+            image="ubuntu:16.04",
+            cmds=["bash", "-cx"],
+            arguments=["echo 10"],
+            labels={"foo": "bar"},
+            name="test",
+            task_id="task",
+            in_cluster=False,
+            do_xcom_push=False,
+            priority_class_name=priority_class_name,
+        )
+
+        launcher_mock.return_value = (State.SUCCESS, None)
+        k.execute(None)
+        actual_pod = self.api_client.sanitize_for_serialization(k.pod)
+        self.expected_pod['spec']['priorityClassName'] = priority_class_name
+        self.assertEqual(self.expected_pod, actual_pod)
+
 
 # pylint: enable=unused-argument
 if __name__ == '__main__':