diff --git a/api/openapi-spec/swagger.json b/api/openapi-spec/swagger.json
index 315fd5854db7..7c5666a900a3 100644
--- a/api/openapi-spec/swagger.json
+++ b/api/openapi-spec/swagger.json
@@ -947,6 +947,15 @@
           "type": "integer",
           "format": "int64"
         },
+        "priority": {
+          "description": "Priority to apply to workflow pods.",
+          "type": "integer",
+          "format": "int32"
+        },
+        "priorityClassName": {
+          "description": "PriorityClassName to apply to workflow pods.",
+          "type": "string"
+        },
         "resource": {
           "description": "Resource template subtype which can run k8s resources",
           "$ref": "#/definitions/io.argoproj.workflow.v1alpha1.ResourceTemplate"
@@ -1122,6 +1131,15 @@
           "type": "integer",
           "format": "int64"
         },
+        "podPriority": {
+          "description": "Priority to apply to workflow pods.",
+          "type": "integer",
+          "format": "int32"
+        },
+        "podPriorityClassName": {
+          "description": "PriorityClassName to apply to workflow pods.",
+          "type": "string"
+        },
         "priority": {
           "description": "Priority is used if controller is configured to process limited number of workflows in parallel. Workflows with higher priority are processed first.",
           "type": "integer",
diff --git a/pkg/apis/workflow/v1alpha1/openapi_generated.go b/pkg/apis/workflow/v1alpha1/openapi_generated.go
index 3094ace5b6ab..3607860bee5c 100644
--- a/pkg/apis/workflow/v1alpha1/openapi_generated.go
+++ b/pkg/apis/workflow/v1alpha1/openapi_generated.go
@@ -1828,6 +1828,20 @@ func schema_pkg_apis_workflow_v1alpha1_Template(ref common.ReferenceCallback) co
 							Format:      "",
 						},
 					},
+					"priorityClassName": {
+						SchemaProps: spec.SchemaProps{
+							Description: "PriorityClassName to apply to workflow pods.",
+							Type:        []string{"string"},
+							Format:      "",
+						},
+					},
+					"priority": {
+						SchemaProps: spec.SchemaProps{
+							Description: "Priority to apply to workflow pods.",
+							Type:        []string{"integer"},
+							Format:      "int32",
+						},
+					},
 				},
 				Required: []string{"name"},
 			},
@@ -2142,6 +2156,20 @@ func schema_pkg_apis_workflow_v1alpha1_WorkflowSpec(ref common.ReferenceCallback
 							Format:      "",
 						},
 					},
+					"podPriorityClassName": {
+						SchemaProps: spec.SchemaProps{
+							Description: "PriorityClassName to apply to workflow pods.",
+							Type:        []string{"string"},
+							Format:      "",
+						},
+					},
+					"podPriority": {
+						SchemaProps: spec.SchemaProps{
+							Description: "Priority to apply to workflow pods.",
+							Type:        []string{"integer"},
+							Format:      "int32",
+						},
+					},
 				},
 				Required: []string{"templates", "entrypoint"},
 			},
diff --git a/pkg/apis/workflow/v1alpha1/types.go b/pkg/apis/workflow/v1alpha1/types.go
index 1874f7211280..e5352e813008 100644
--- a/pkg/apis/workflow/v1alpha1/types.go
+++ b/pkg/apis/workflow/v1alpha1/types.go
@@ -145,6 +145,7 @@ type WorkflowSpec struct {
 	// allowed to run before the controller terminates the workflow. A value of zero is used to
 	// terminate a Running workflow
 	ActiveDeadlineSeconds *int64 `json:"activeDeadlineSeconds,omitempty"`
+
 	// Priority is used if controller is configured to process limited number of workflows in parallel. Workflows with higher priority are processed first.
 	Priority *int32 `json:"priority,omitempty"`
 
@@ -153,6 +154,12 @@ type WorkflowSpec struct {
 	// Default scheduler will be used if neither specified.
 	// +optional
 	SchedulerName string `json:"schedulerName,omitempty"`
+
+	// PriorityClassName to apply to workflow pods.
+	PodPriorityClassName string `json:"podPriorityClassName,omitempty"`
+
+	// Priority to apply to workflow pods.
+	PodPriority *int32 `json:"podPriority,omitempty"`
 }
 
 // Template is a reusable and composable unit of execution in a workflow
@@ -229,6 +236,12 @@ type Template struct {
 	// If neither specified, the pod will be dispatched by default scheduler.
 	// +optional
 	SchedulerName string `json:"schedulerName,omitempty"`
+
+	// PriorityClassName to apply to workflow pods.
+	PriorityClassName string `json:"priorityClassName,omitempty"`
+
+	// Priority to apply to workflow pods.
+	Priority *int32 `json:"priority,omitempty"`
 }
 
 // Inputs are the mechanism for passing parameters, artifacts, volumes from one template to another
diff --git a/pkg/apis/workflow/v1alpha1/zz_generated.deepcopy.go b/pkg/apis/workflow/v1alpha1/zz_generated.deepcopy.go
index 72e00d152e1c..774a176288d5 100644
--- a/pkg/apis/workflow/v1alpha1/zz_generated.deepcopy.go
+++ b/pkg/apis/workflow/v1alpha1/zz_generated.deepcopy.go
@@ -830,6 +830,11 @@ func (in *Template) DeepCopyInto(out *Template) {
 			(*in)[i].DeepCopyInto(&(*out)[i])
 		}
 	}
+	if in.Priority != nil {
+		in, out := &in.Priority, &out.Priority
+		*out = new(int32)
+		**out = **in
+	}
 	return
 }
 
@@ -1004,6 +1009,11 @@ func (in *WorkflowSpec) DeepCopyInto(out *WorkflowSpec) {
 		*out = new(int32)
 		**out = **in
 	}
+	if in.PodPriority != nil {
+		in, out := &in.PodPriority, &out.PodPriority
+		*out = new(int32)
+		**out = **in
+	}
 	return
 }
 
diff --git a/workflow/controller/workflowpod.go b/workflow/controller/workflowpod.go
index 9f7081e4daf2..4efd896ee2f4 100644
--- a/workflow/controller/workflowpod.go
+++ b/workflow/controller/workflowpod.go
@@ -408,12 +408,31 @@ func addSchedulingConstraints(pod *apiv1.Pod, wfSpec *wfv1.WorkflowSpec, tmpl *w
 	} else if len(wfSpec.Tolerations) > 0 {
 		pod.Spec.Tolerations = wfSpec.Tolerations
 	}
+
 	// Set scheduler name (if specified)
 	if tmpl.SchedulerName != "" {
 		pod.Spec.SchedulerName = tmpl.SchedulerName
 	} else if wfSpec.SchedulerName != "" {
 		pod.Spec.SchedulerName = wfSpec.SchedulerName
 	}
+	// Set priorityClass (if specified)
+	if tmpl.PriorityClassName != "" {
+		pod.Spec.PriorityClassName = tmpl.PriorityClassName
+	} else if wfSpec.PodPriorityClassName != "" {
+		pod.Spec.PriorityClassName = wfSpec.PodPriorityClassName
+	}
+	// Set priority (if specified)
+	if tmpl.Priority != nil {
+		pod.Spec.Priority = tmpl.Priority
+	} else if wfSpec.PodPriority != nil {
+		pod.Spec.Priority = wfSpec.PodPriority
+	}
+	// Set schedulerName (if specified)
+	if tmpl.SchedulerName != "" {
+		pod.Spec.SchedulerName = tmpl.SchedulerName
+	} else if wfSpec.SchedulerName != "" {
+		pod.Spec.SchedulerName = wfSpec.SchedulerName
+	}
 }
 
 // addVolumeReferences adds any volumeMounts that a container/sidecar is referencing, to the pod.spec.volumes
diff --git a/workflow/controller/workflowpod_test.go b/workflow/controller/workflowpod_test.go
index cc7928bccc1b..59a8750b573c 100644
--- a/workflow/controller/workflowpod_test.go
+++ b/workflow/controller/workflowpod_test.go
@@ -316,3 +316,28 @@ func TestOutOfCluster(t *testing.T) {
 		assert.Equal(t, "--kubeconfig=/some/path/config", pod.Spec.Containers[1].Args[1])
 	}
 }
+
+// TestPriority verifies the ability to carry forward priorityClassName and priority.
+func TestPriority(t *testing.T) {
+	priority := int32(15)
+	woc := newWoc()
+	woc.wf.Spec.Templates[0].PriorityClassName = "foo"
+	woc.wf.Spec.Templates[0].Priority = &priority
+	woc.executeContainer(woc.wf.Spec.Entrypoint, &woc.wf.Spec.Templates[0], "")
+	podName := getPodName(woc.wf)
+	pod, err := woc.controller.kubeclientset.CoreV1().Pods("").Get(podName, metav1.GetOptions{})
+	assert.Nil(t, err)
+	assert.Equal(t, pod.Spec.PriorityClassName, "foo")
+	assert.Equal(t, pod.Spec.Priority, &priority)
+}
+
+// TestSchedulerName verifies the ability to carry forward schedulerName.
+func TestSchedulerName(t *testing.T) {
+	woc := newWoc()
+	woc.wf.Spec.Templates[0].SchedulerName = "foo"
+	woc.executeContainer(woc.wf.Spec.Entrypoint, &woc.wf.Spec.Templates[0], "")
+	podName := getPodName(woc.wf)
+	pod, err := woc.controller.kubeclientset.CoreV1().Pods("").Get(podName, metav1.GetOptions{})
+	assert.Nil(t, err)
+	assert.Equal(t, pod.Spec.SchedulerName, "foo")
+}