diff --git a/docs/additional-configs.md b/docs/additional-configs.md
index e71f09123e4..6b307bbd151 100644
--- a/docs/additional-configs.md
+++ b/docs/additional-configs.md
@@ -237,7 +237,7 @@ The example below customizes the following:
 - the default service account from `default` to `tekton`.
 - the default timeout from 60 minutes to 20 minutes.
 - the default `app.kubernetes.io/managed-by` label is applied to all Pods created to execute `TaskRuns`.
-- the default Pod template to include a node selector to select the node where the Pod will be scheduled by default. A list of supported fields is available [here](https://github.com/tektoncd/pipeline/blob/main/docs/podtemplates.md#supported-fields).
+- the default Pod template to include a node selector to select the node where the Pod will be scheduled by default. A list of supported fields is available [here](./podtemplates.md#supported-fields).
   For more information, see [`PodTemplate` in `TaskRuns`](./taskruns.md#specifying-a-pod-template) or [`PodTemplate` in `PipelineRuns`](./pipelineruns.md#specifying-a-pod-template).
 - the default `Workspace` configuration can be set for any `Workspaces` that a Task declares but that a TaskRun does not explicitly provide.
 - the default maximum combinations of `Parameters` in a `Matrix` that can be used to fan out a `PipelineTask`. For
diff --git a/docs/podtemplates.md b/docs/podtemplates.md
index 8f38abc9e12..53bb70ca6e3 100644
--- a/docs/podtemplates.md
+++ b/docs/podtemplates.md
@@ -23,20 +23,6 @@ See the following for examples of specifying a Pod template:
 - [Specifying a Pod template for a `TaskRun`](./taskruns.md#specifying-a-pod-template)
 - [Specifying a Pod template for a `PipelineRun`](./pipelineruns.md#specifying-a-pod-template)
 
-## Affinity Assistant Pod templates
-
-The Pod templates specified in the `TaskRuns` and `PipelineRuns `also apply to
-the [affinity assistant Pods](#./workspaces.md#specifying-workspace-order-in-a-pipeline-and-affinity-assistants)
-that are created when using Workspaces, but only on select fields.
-
-The supported fields are: `tolerations`, `nodeSelector`, `securityContext` and
-`imagePullSecrets` (see the table below for more details).
-
-Similarily to Pod templates, you have the option to define a global affinity
-assistant Pod template [in your Tekton config](./additional-configs.md#customizing-basic-execution-parameters)
-using the key `default-affinity-assistant-pod-template`. The merge strategy is
-the same as the one described above.
-
 ## Supported fields
 
 Pod templates support fields listed in the table below.
@@ -156,6 +142,20 @@ roleRef:
   apiGroup: rbac.authorization.k8s.io
 ```
 
+# Affinity Assistant Pod templates
+
+The Pod templates specified in the `TaskRuns` and `PipelineRuns `also apply to
+the [affinity assistant Pods](#./workspaces.md#specifying-workspace-order-in-a-pipeline-and-affinity-assistants)
+that are created when using Workspaces, but only on selected fields.
+
+The supported fields for affinity assistant pods are: `tolerations`, `nodeSelector`, `securityContext`, 
+`priorityClassName` and `imagePullSecrets` (see the table above for more details about the fields).
+
+Similarly to global Pod Template, you have the option to define a global affinity
+assistant Pod template [in your Tekton config](./additional-configs.md#customizing-basic-execution-parameters)
+using the key `default-affinity-assistant-pod-template`. The merge strategy is
+the same as the one described above for the supported fields.
+
 ---
 
 Except as otherwise noted, the content of this page is licensed under the
diff --git a/pkg/apis/pipeline/pod/affinity_assitant_template.go b/pkg/apis/pipeline/pod/affinity_assitant_template.go
index aba3f97b3a3..214ec6a8700 100644
--- a/pkg/apis/pipeline/pod/affinity_assitant_template.go
+++ b/pkg/apis/pipeline/pod/affinity_assitant_template.go
@@ -46,6 +46,15 @@ type AffinityAssistantTemplate struct {
 	// SecurityContext sets the security context for the pod
 	// +optional
 	SecurityContext *corev1.PodSecurityContext `json:"securityContext,omitempty"`
+
+	// If specified, indicates the pod's priority. "system-node-critical" and
+	// "system-cluster-critical" are two special keywords which indicate the
+	// highest priorities with the former being the highest priority. Any other
+	// name must be defined by creating a PriorityClass object with that name.
+	// If not specified, the pod priority will be default or zero if there is no
+	// default.
+	// +optional
+	PriorityClassName *string `json:"priorityClassName,omitempty"`
 }
 
 // Equals checks if this Template is identical to the given Template.
diff --git a/pkg/apis/pipeline/pod/template.go b/pkg/apis/pipeline/pod/template.go
index 68d7e61af33..6bc37fecd7f 100644
--- a/pkg/apis/pipeline/pod/template.go
+++ b/pkg/apis/pipeline/pod/template.go
@@ -148,10 +148,11 @@ func (tpl *Template) ToAffinityAssistantTemplate() *AffinityAssistantTemplate {
 	}
 
 	return &AffinityAssistantTemplate{
-		NodeSelector:     tpl.NodeSelector,
-		Tolerations:      tpl.Tolerations,
-		ImagePullSecrets: tpl.ImagePullSecrets,
-		SecurityContext:  tpl.SecurityContext,
+		NodeSelector:      tpl.NodeSelector,
+		Tolerations:       tpl.Tolerations,
+		ImagePullSecrets:  tpl.ImagePullSecrets,
+		SecurityContext:   tpl.SecurityContext,
+		PriorityClassName: tpl.PriorityClassName,
 	}
 }
 
@@ -251,6 +252,9 @@ func MergeAAPodTemplateWithDefault(tpl, defaultTpl *AAPodTemplate) *AAPodTemplat
 		if tpl.SecurityContext == nil {
 			tpl.SecurityContext = defaultTpl.SecurityContext
 		}
+		if tpl.PriorityClassName == nil {
+			tpl.PriorityClassName = defaultTpl.PriorityClassName
+		}
 
 		return tpl
 	}
diff --git a/pkg/reconciler/pipelinerun/affinity_assistant.go b/pkg/reconciler/pipelinerun/affinity_assistant.go
index 27b9874effd..94aab0951ab 100644
--- a/pkg/reconciler/pipelinerun/affinity_assistant.go
+++ b/pkg/reconciler/pipelinerun/affinity_assistant.go
@@ -311,6 +311,11 @@ func affinityAssistantStatefulSet(aaBehavior aa.AffinityAssistantBehavior, name
 		}
 	}
 
+	var priorityClassName string
+	if tpl.PriorityClassName != nil {
+		priorityClassName = *tpl.PriorityClassName
+	}
+
 	containers := []corev1.Container{{
 		Name:  "affinity-assistant",
 		Image: containerConfig.Image,
@@ -375,10 +380,11 @@ func affinityAssistantStatefulSet(aaBehavior aa.AffinityAssistantBehavior, name
 				Spec: corev1.PodSpec{
 					Containers: containers,
 
-					Tolerations:      tpl.Tolerations,
-					NodeSelector:     tpl.NodeSelector,
-					ImagePullSecrets: tpl.ImagePullSecrets,
-					SecurityContext:  tpl.SecurityContext,
+					Tolerations:       tpl.Tolerations,
+					NodeSelector:      tpl.NodeSelector,
+					ImagePullSecrets:  tpl.ImagePullSecrets,
+					SecurityContext:   tpl.SecurityContext,
+					PriorityClassName: priorityClassName,
 
 					Affinity: getAssistantAffinityMergedWithPodTemplateAffinity(pr, aaBehavior),
 					Volumes:  volumes,
diff --git a/pkg/reconciler/pipelinerun/affinity_assistant_test.go b/pkg/reconciler/pipelinerun/affinity_assistant_test.go
index 30c5c273578..35c22df73de 100644
--- a/pkg/reconciler/pipelinerun/affinity_assistant_test.go
+++ b/pkg/reconciler/pipelinerun/affinity_assistant_test.go
@@ -778,6 +778,7 @@ func TestDefaultPodTemplatesArePropagatedToAffinityAssistant(t *testing.T) {
 			},
 		},
 	}
+	priorityClassName := "test-priority"
 
 	defaultTpl := &pod.AffinityAssistantTemplate{
 		Tolerations: []corev1.Toleration{{
@@ -796,6 +797,7 @@ func TestDefaultPodTemplatesArePropagatedToAffinityAssistant(t *testing.T) {
 			RunAsNonRoot:   ptr.Bool(true),
 			SeccompProfile: &corev1.SeccompProfile{Type: corev1.SeccompProfileTypeRuntimeDefault},
 		},
+		PriorityClassName: &priorityClassName,
 	}
 
 	stsWithOverridenTemplateFields := affinityAssistantStatefulSet(aa.AffinityAssistantPerWorkspace, "test-assistant", prWithCustomPodTemplate, []corev1.PersistentVolumeClaim{}, []string{}, containerConfigWithoutSecurityContext, defaultTpl)
@@ -815,6 +817,10 @@ func TestDefaultPodTemplatesArePropagatedToAffinityAssistant(t *testing.T) {
 	if stsWithOverridenTemplateFields.Spec.Template.Spec.SecurityContext == nil {
 		t.Errorf("expected SecurityContext in the StatefulSet")
 	}
+
+	if stsWithOverridenTemplateFields.Spec.Template.Spec.PriorityClassName == "" {
+		t.Errorf("expected PriorityClassName in the StatefulSet")
+	}
 }
 
 func TestMergedPodTemplatesArePropagatedToAffinityAssistant(t *testing.T) {