diff --git a/examples/v1beta1/pipelineruns/6682-regression.yaml b/examples/v1beta1/pipelineruns/6682-regression.yaml
new file mode 100644
index 00000000000..12811c1d4fa
--- /dev/null
+++ b/examples/v1beta1/pipelineruns/6682-regression.yaml
@@ -0,0 +1,54 @@
+apiVersion: tekton.dev/v1beta1
+kind: Pipeline
+metadata:
+  name: dummy-pipeline
+  namespace: default
+spec:
+  tasks:
+  - name: init
+    params:
+    - name: resource
+      value: resouce
+    taskRef:
+      apiVersion: tekton.dev/v1beta1
+      kind: ClusterTask
+      name: init
+    workspaces:
+    - name: output
+      workspace: shared
+  workspaces:
+  - description: Main workspace that is shared across each task in the build pipeline
+    name: shared
+---
+apiVersion: tekton.dev/v1beta1
+kind: ClusterTask
+metadata:
+  name: init
+spec:
+  workspaces:
+    - name: output
+  params:
+  - name: resource
+    type: string
+  steps:
+  - name: hello
+    image: registry.access.redhat.com/ubi9-micro:latest
+    args: ["$(params.resource)"]
+    command: ["echo"]
+---
+apiVersion: tekton.dev/v1beta1
+kind: PipelineRun
+metadata:
+  name: dummy
+spec:
+  pipelineRef:
+    name: dummy-pipeline
+  workspaces:
+  - name: shared
+    volumeClaimTemplate:
+      spec:
+        accessModes:
+        - ReadWriteOnce
+        resources:
+          requests:
+            storage: 10Mi
diff --git a/pkg/apis/pipeline/v1beta1/pipeline_types.go b/pkg/apis/pipeline/v1beta1/pipeline_types.go
index 84e030ec453..ff8f94f4813 100644
--- a/pkg/apis/pipeline/v1beta1/pipeline_types.go
+++ b/pkg/apis/pipeline/v1beta1/pipeline_types.go
@@ -224,7 +224,7 @@ type PipelineTask struct {
 func (et *EmbeddedTask) IsCustomTask() bool {
 	// Note that if `apiVersion` is set to `"tekton.dev/v1beta1"` and `kind` is set to `"Task"`,
 	// the reference will be considered a Custom Task - https://github.com/tektoncd/pipeline/issues/6457
-	return et != nil && et.APIVersion != "" && et.Kind != ""
+	return et != nil && et.APIVersion != "" && et.Kind != "" && et.Kind != string(ClusterTaskKind)
 }
 
 // IsMatrixed return whether pipeline task is matrixed
diff --git a/pkg/apis/pipeline/v1beta1/pipeline_types_test.go b/pkg/apis/pipeline/v1beta1/pipeline_types_test.go
index f137ae152a6..84b05467f52 100644
--- a/pkg/apis/pipeline/v1beta1/pipeline_types_test.go
+++ b/pkg/apis/pipeline/v1beta1/pipeline_types_test.go
@@ -940,6 +940,15 @@ func TestEmbeddedTask_IsCustomTask(t *testing.T) {
 			},
 		},
 		want: true,
+	}, {
+		name: "custom task - clustertask is not customtask",
+		et: &EmbeddedTask{
+			TypeMeta: runtime.TypeMeta{
+				Kind:       string(ClusterTaskKind),
+				APIVersion: "example/v0",
+			},
+		},
+		want: false,
 	},
 	}
 	for _, tt := range tests {
diff --git a/pkg/apis/pipeline/v1beta1/taskref_types.go b/pkg/apis/pipeline/v1beta1/taskref_types.go
index f8f231cd961..2ffa1e0d88c 100644
--- a/pkg/apis/pipeline/v1beta1/taskref_types.go
+++ b/pkg/apis/pipeline/v1beta1/taskref_types.go
@@ -58,5 +58,5 @@ const (
 func (tr *TaskRef) IsCustomTask() bool {
 	// Note that if `apiVersion` is set to `"tekton.dev/v1beta1"` and `kind` is set to `"Task"`,
 	// the reference will be considered a Custom Task - https://github.com/tektoncd/pipeline/issues/6457
-	return tr != nil && tr.APIVersion != "" && tr.Kind != ""
+	return tr != nil && tr.APIVersion != "" && tr.Kind != "" && tr.Kind != ClusterTaskKind
 }
diff --git a/pkg/apis/pipeline/v1beta1/taskref_types_test.go b/pkg/apis/pipeline/v1beta1/taskref_types_test.go
index 6666556003d..426d99edc73 100644
--- a/pkg/apis/pipeline/v1beta1/taskref_types_test.go
+++ b/pkg/apis/pipeline/v1beta1/taskref_types_test.go
@@ -48,6 +48,13 @@ func TestTaskRef_IsCustomTask(t *testing.T) {
 			APIVersion: "example/v0",
 		},
 		want: false,
+	}, {
+		name: "not a custom task - kind is clustertask",
+		tr: &v1beta1.TaskRef{
+			Name:       string(v1beta1.ClusterTaskKind),
+			APIVersion: "example/v0",
+		},
+		want: false,
 	}, {
 		name: "custom task with name",
 		tr: &v1beta1.TaskRef{
diff --git a/pkg/reconciler/pipelinerun/pipelinerun_test.go b/pkg/reconciler/pipelinerun/pipelinerun_test.go
index 23c6fe72e58..dd77ab3c3b5 100644
--- a/pkg/reconciler/pipelinerun/pipelinerun_test.go
+++ b/pkg/reconciler/pipelinerun/pipelinerun_test.go
@@ -11791,3 +11791,52 @@ spec:
 		t.Errorf("Expected PipelineRun to still be Succeeded, but reason is %s", reconciledRun.Status.GetCondition(apis.ConditionSucceeded))
 	}
 }
+
+func TestReconcileClusterTaskWithApiVersion(t *testing.T) {
+	ps := []*v1beta1.Pipeline{parse.MustParseV1beta1Pipeline(t, `
+metadata:
+  name: test-pipeline
+  namespace: foo
+spec:
+  tasks:
+  - name: unit-test-cluster-task
+    taskRef:
+      name: unit-test-cluster-task
+      apiversion: tekton.dev/v1beta1
+      kind: ClusterTask
+`)}
+	prs := []*v1beta1.PipelineRun{parse.MustParseV1beta1PipelineRun(t, `
+metadata:
+  name: test-pipeline-run-with-clustertask
+  namespace: foo
+spec:
+  pipelineRef:
+    name: test-pipeline
+  serviceAccountName: test-sa
+`)}
+
+	clusterTasks := []*v1beta1.ClusterTask{
+		parse.MustParseClusterTask(t, `
+metadata:
+  name: unit-test-cluster-task
+spec:
+  steps:
+  - image: ubuntu
+    script: |
+      #!/usr/bin/env bash
+      echo "Hello from bash!"
+`)}
+
+	d := test.Data{
+		PipelineRuns: prs,
+		Pipelines:    ps,
+		ClusterTasks: clusterTasks,
+	}
+	prt := newPipelineRunTest(t, d)
+	defer prt.Cancel()
+
+	wantEvents := []string{}
+	reconciledRun, _ := prt.reconcileRun("foo", "test-pipeline-run-with-clustertask", wantEvents, false)
+
+	checkPipelineRunConditionStatusAndReason(t, reconciledRun, corev1.ConditionUnknown, v1beta1.PipelineRunReasonRunning.String())
+}