diff --git a/airflow-core/newsfragments/66410.feature.rst b/airflow-core/newsfragments/66410.feature.rst
new file mode 100644
index 0000000000000..9faebc476ff62
--- /dev/null
+++ b/airflow-core/newsfragments/66410.feature.rst
@@ -0,0 +1 @@
+Add the ``on_task_instance_checkpointed`` listener hook so listener authors observe checkpoint events alongside running, success, failed, and skipped.
diff --git a/airflow-core/src/airflow/api_fastapi/core_api/openapi/_private_ui.yaml b/airflow-core/src/airflow/api_fastapi/core_api/openapi/_private_ui.yaml
index 2983263bbc59b..bdf69e69be527 100644
--- a/airflow-core/src/airflow/api_fastapi/core_api/openapi/_private_ui.yaml
+++ b/airflow-core/src/airflow/api_fastapi/core_api/openapi/_private_ui.yaml
@@ -3546,6 +3546,7 @@ components:
       - upstream_failed
       - skipped
       - deferred
+      - checkpointed
       title: TaskInstanceState
       description: 'All possible states that a Task Instance can be in.
 
diff --git a/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml b/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
index 5ed96855c24ac..64a120d893c37 100644
--- a/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
+++ b/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
@@ -14445,6 +14445,7 @@ components:
       - upstream_failed
       - skipped
       - deferred
+      - checkpointed
       title: TaskInstanceState
       description: 'All possible states that a Task Instance can be in.
 
diff --git a/airflow-core/src/airflow/example_dags/plugins/event_listener.py b/airflow-core/src/airflow/example_dags/plugins/event_listener.py
index 91af9f5ccc6df..252ce2b65f344 100644
--- a/airflow-core/src/airflow/example_dags/plugins/event_listener.py
+++ b/airflow-core/src/airflow/example_dags/plugins/event_listener.py
@@ -173,6 +173,26 @@ def on_task_instance_skipped(
 # [END howto_listen_ti_skipped_task]
 
 
+# [START howto_listen_ti_checkpointed_task]
+@hookimpl
+def on_task_instance_checkpointed(
+    previous_state: TaskInstanceState | None,
+    task_instance: RuntimeTaskInstance | TaskInstance,
+    checkpoint_data,
+):
+    """
+    Called when a task reaches a stable checkpoint and pauses.
+
+    The operator raised ``AirflowTaskCheckpointed`` from ``execute()`` and the
+    worker reported ``CHECKPOINTED`` state. ``checkpoint_data`` is the payload
+    the operator passed when raising; it can be ``None``.
+    """
+    print(f"Task instance reached a checkpoint (data={checkpoint_data!r})")
+
+
+# [END howto_listen_ti_checkpointed_task]
+
+
 # [START howto_listen_dagrun_success_task]
 @hookimpl
 def on_dag_run_success(dag_run: DagRun, msg: str):
diff --git a/airflow-core/src/airflow/utils/state.py b/airflow-core/src/airflow/utils/state.py
index 332efb105533d..890043f094656 100644
--- a/airflow-core/src/airflow/utils/state.py
+++ b/airflow-core/src/airflow/utils/state.py
@@ -56,6 +56,7 @@ class IntermediateTIState(str, Enum):
     UP_FOR_RETRY = "up_for_retry"
     UP_FOR_RESCHEDULE = "up_for_reschedule"
     DEFERRED = "deferred"
+    CHECKPOINTED = "checkpointed"
 
     def __str__(self) -> str:
         return self.value
@@ -87,6 +88,7 @@ class TaskInstanceState(str, Enum):
     UPSTREAM_FAILED = TerminalTIState.UPSTREAM_FAILED  # One or more upstream deps failed
     SKIPPED = TerminalTIState.SKIPPED  # Skipped by branching or some other mechanism
     DEFERRED = IntermediateTIState.DEFERRED  # Deferrable operator waiting on a trigger
+    CHECKPOINTED = IntermediateTIState.CHECKPOINTED  # Operator paused at a stable checkpoint
 
     def __str__(self) -> str:
         return self.value
@@ -130,6 +132,7 @@ class State:
     UPSTREAM_FAILED = TaskInstanceState.UPSTREAM_FAILED
     SKIPPED = TaskInstanceState.SKIPPED
     DEFERRED = TaskInstanceState.DEFERRED
+    CHECKPOINTED = TaskInstanceState.CHECKPOINTED
 
     finished_dr_states: frozenset[DagRunState] = frozenset([DagRunState.SUCCESS, DagRunState.FAILED])
     unfinished_dr_states: frozenset[DagRunState] = frozenset([DagRunState.QUEUED, DagRunState.RUNNING])
@@ -157,6 +160,7 @@ class State:
         TaskInstanceState.REMOVED: "lightgrey",
         TaskInstanceState.SCHEDULED: "tan",
         TaskInstanceState.DEFERRED: "mediumpurple",
+        TaskInstanceState.CHECKPOINTED: "lightyellow",
     }
 
     @classmethod
@@ -200,6 +204,7 @@ def color_fg(cls, state):
             TaskInstanceState.UP_FOR_RETRY,
             TaskInstanceState.UP_FOR_RESCHEDULE,
             TaskInstanceState.DEFERRED,
+            TaskInstanceState.CHECKPOINTED,
         ]
     )
     """
diff --git a/airflow-ctl/src/airflowctl/api/datamodels/generated.py b/airflow-ctl/src/airflowctl/api/datamodels/generated.py
index 276c8699de058..d549d78711481 100644
--- a/airflow-ctl/src/airflowctl/api/datamodels/generated.py
+++ b/airflow-ctl/src/airflowctl/api/datamodels/generated.py
@@ -841,6 +841,7 @@ class TaskInstanceState(str, Enum):
     UPSTREAM_FAILED = "upstream_failed"
     SKIPPED = "skipped"
     DEFERRED = "deferred"
+    CHECKPOINTED = "checkpointed"
 
 
 class TaskInstancesBatchBody(BaseModel):
diff --git a/providers/edge3/src/airflow/providers/edge3/worker_api/v2-edge-generated.yaml b/providers/edge3/src/airflow/providers/edge3/worker_api/v2-edge-generated.yaml
index 01c8149d1dad8..e894eda0837dd 100644
--- a/providers/edge3/src/airflow/providers/edge3/worker_api/v2-edge-generated.yaml
+++ b/providers/edge3/src/airflow/providers/edge3/worker_api/v2-edge-generated.yaml
@@ -1274,6 +1274,7 @@ components:
       - upstream_failed
       - skipped
       - deferred
+      - checkpointed
       title: TaskInstanceState
       description: 'All possible states that a Task Instance can be in.
 
diff --git a/shared/listeners/src/airflow_shared/listeners/spec/taskinstance.py b/shared/listeners/src/airflow_shared/listeners/spec/taskinstance.py
index d3450d6b05aa7..f524b12226169 100644
--- a/shared/listeners/src/airflow_shared/listeners/spec/taskinstance.py
+++ b/shared/listeners/src/airflow_shared/listeners/spec/taskinstance.py
@@ -79,3 +79,25 @@ def on_task_instance_skipped(
     :param task_instance: The task instance object (RuntimeTaskInstance when called
         from task execution context, TaskInstance when called from API server)
     """
+
+
+@hookspec
+def on_task_instance_checkpointed(
+    previous_state: TaskInstanceState | None,
+    task_instance: RuntimeTaskInstance | TaskInstance,
+    checkpoint_data,
+):
+    """
+    Execute when a task instance reaches a stable checkpoint and pauses.
+
+    Fires when an operator raises ``AirflowTaskCheckpointed`` and the worker
+    reports ``CHECKPOINTED`` state.
+
+    :param previous_state: Previous state of the task instance (typically RUNNING)
+    :param task_instance: The task instance object (RuntimeTaskInstance when
+        called from task execution context, TaskInstance when called from API
+        server)
+    :param checkpoint_data: The serializable payload the operator passed to
+        ``AirflowTaskCheckpointed(checkpoint_data=...)``, or ``None`` if no
+        payload was supplied.
+    """
diff --git a/task-sdk/src/airflow/sdk/api/datamodels/_generated.py b/task-sdk/src/airflow/sdk/api/datamodels/_generated.py
index b5b100154c389..306cd386c38ac 100644
--- a/task-sdk/src/airflow/sdk/api/datamodels/_generated.py
+++ b/task-sdk/src/airflow/sdk/api/datamodels/_generated.py
@@ -198,6 +198,7 @@ class IntermediateTIState(str, Enum):
     UP_FOR_RETRY = "up_for_retry"
     UP_FOR_RESCHEDULE = "up_for_reschedule"
     DEFERRED = "deferred"
+    CHECKPOINTED = "checkpointed"
 
 
 class PrevSuccessfulDagRunResponse(BaseModel):
@@ -365,6 +366,7 @@ class TaskInstanceState(str, Enum):
     UPSTREAM_FAILED = "upstream_failed"
     SKIPPED = "skipped"
     DEFERRED = "deferred"
+    CHECKPOINTED = "checkpointed"
 
 
 class TaskStatePutBody(BaseModel):
diff --git a/task-sdk/src/airflow/sdk/exceptions.py b/task-sdk/src/airflow/sdk/exceptions.py
index 7d42dad5d8502..cbde73db11224 100644
--- a/task-sdk/src/airflow/sdk/exceptions.py
+++ b/task-sdk/src/airflow/sdk/exceptions.py
@@ -165,6 +165,33 @@ class AirflowSkipException(AirflowException):
     """Raise when the task should be skipped."""
 
 
+class AirflowTaskCheckpointed(AirflowException):
+    """
+    Raise when the operator has reached a stable checkpoint and intends to pause.
+
+    The worker reports the task as CHECKPOINTED and persists the optional
+    ``checkpoint_data`` so a subsequent run can resume from the same point.
+
+    This is the AIP-96 (Resumable Operators) foundation primitive. Auto-resume
+    semantics, scheduler treatment, and downstream trigger-rule integration are
+    intentionally deferred to follow-ups so the API shape can be discussed
+    without committing to a single resumption policy.
+
+    :param checkpoint_data: Arbitrary serializable payload representing the
+        operator's resume point. Persistence and resume wiring are out of scope
+        for this foundation; the parameter exists so listeners and operator
+        authors can iterate against the final shape.
+    """
+
+    def __init__(self, checkpoint_data=None):
+        super().__init__()
+        self.checkpoint_data = checkpoint_data
+
+    def serialize(self):
+        cls = self.__class__
+        return f"{cls.__module__}.{cls.__name__}", (), {"checkpoint_data": self.checkpoint_data}
+
+
 class AirflowTaskTerminated(BaseException):
     """Raise when the task execution is terminated."""
 
diff --git a/task-sdk/src/airflow/sdk/execution_time/comms.py b/task-sdk/src/airflow/sdk/execution_time/comms.py
index 87c7881333ad4..ded750db1840c 100644
--- a/task-sdk/src/airflow/sdk/execution_time/comms.py
+++ b/task-sdk/src/airflow/sdk/execution_time/comms.py
@@ -754,6 +754,7 @@ class TaskState(BaseModel):
         TaskInstanceState.FAILED,
         TaskInstanceState.SKIPPED,
         TaskInstanceState.REMOVED,
+        TaskInstanceState.CHECKPOINTED,
     ]
     end_date: datetime | None = None
     type: Literal["TaskState"] = "TaskState"
diff --git a/task-sdk/src/airflow/sdk/execution_time/task_runner.py b/task-sdk/src/airflow/sdk/execution_time/task_runner.py
index 56ba8343c648b..af286310964c3 100644
--- a/task-sdk/src/airflow/sdk/execution_time/task_runner.py
+++ b/task-sdk/src/airflow/sdk/execution_time/task_runner.py
@@ -1248,6 +1248,7 @@ def run(
         AirflowRescheduleException,
         AirflowSensorTimeout,
         AirflowSkipException,
+        AirflowTaskCheckpointed,
         AirflowTaskTerminated,
         DagRunTriggerException,
         DownstreamTasksSkipped,
@@ -1342,6 +1343,15 @@ def _on_term(signum, frame):
             rendered_map_index=ti.rendered_map_index,
         )
         state = TaskInstanceState.SKIPPED
+    except AirflowTaskCheckpointed as checkpoint:
+        log.info("Task checkpointed; reporting CHECKPOINTED state.")
+        msg = TaskState(
+            state=TaskInstanceState.CHECKPOINTED,
+            end_date=datetime.now(tz=timezone.utc),
+            rendered_map_index=ti.rendered_map_index,
+        )
+        state = TaskInstanceState.CHECKPOINTED
+        ti._checkpoint_data = checkpoint.checkpoint_data  # type: ignore[attr-defined]
     except AirflowRescheduleException as reschedule:
         log.info("Rescheduling task, marking task as UP_FOR_RESCHEDULE")
         msg = RescheduleTask(
@@ -1932,6 +1942,15 @@ def finalize(
             log.exception("error calling listener")
         if error and task.email_on_failure and task.email:
             _send_error_email_notification(task, ti, context, error, log)
+    elif state == TaskInstanceState.CHECKPOINTED:
+        try:
+            get_listener_manager().hook.on_task_instance_checkpointed(
+                previous_state=TaskInstanceState.RUNNING,
+                task_instance=ti,
+                checkpoint_data=getattr(ti, "_checkpoint_data", None),
+            )
+        except Exception:
+            log.exception("error calling listener")
 
     try:
         get_listener_manager().hook.before_stopping(component=TaskRunnerMarker())
diff --git a/task-sdk/tests/task_sdk/execution_time/test_task_runner.py b/task-sdk/tests/task_sdk/execution_time/test_task_runner.py
index 630aff9094ed1..84894b2bec19b 100644
--- a/task-sdk/tests/task_sdk/execution_time/test_task_runner.py
+++ b/task-sdk/tests/task_sdk/execution_time/test_task_runner.py
@@ -4758,6 +4758,69 @@ def test_handle_trigger_dag_run_deferred_with_reset_uses_run_id_only(
         mock_supervisor_comms.send.assert_any_call(msg)
 
 
+class TestTaskCheckpointed:
+    @pytest.mark.parametrize(
+        "checkpoint_data",
+        [
+            pytest.param(None, id="no-payload"),
+            pytest.param({"step": 3, "iterator_offset": 1024}, id="dict-payload"),
+            pytest.param([1, 2, 3], id="list-payload"),
+        ],
+    )
+    def test_run_returns_checkpointed_state(self, checkpoint_data, create_runtime_ti, mock_supervisor_comms):
+        """``run()`` reports CHECKPOINTED when the operator raises
+        ``AirflowTaskCheckpointed``."""
+        from airflow.sdk.exceptions import AirflowTaskCheckpointed
+
+        def _raise_checkpointed():
+            raise AirflowTaskCheckpointed(checkpoint_data=checkpoint_data)
+
+        task = PythonOperator(task_id="checkpointed_task", python_callable=_raise_checkpointed)
+        ti = create_runtime_ti(task=task)
+
+        state, _msg, _error = run(ti, context=ti.get_template_context(), log=mock.MagicMock())
+
+        assert state == TaskInstanceState.CHECKPOINTED
+
+    @pytest.mark.parametrize(
+        "checkpoint_data",
+        [
+            pytest.param(None, id="no-payload"),
+            pytest.param({"step": 7}, id="dict-payload"),
+        ],
+    )
+    def test_listener_receives_checkpoint_data(
+        self, checkpoint_data, create_runtime_ti, mock_supervisor_comms, listener_manager
+    ):
+        """``finalize()`` invokes ``on_task_instance_checkpointed`` and forwards
+        the operator-supplied ``checkpoint_data``."""
+        from airflow.sdk.exceptions import AirflowTaskCheckpointed
+
+        received = {"called": 0, "data": "<unset>"}
+
+        class CheckpointListener:
+            @hookimpl
+            def on_task_instance_checkpointed(self, previous_state, task_instance, checkpoint_data):
+                received["called"] += 1
+                received["data"] = checkpoint_data
+
+        listener_manager(CheckpointListener())
+
+        def _raise_checkpointed():
+            raise AirflowTaskCheckpointed(checkpoint_data=checkpoint_data)
+
+        task = PythonOperator(task_id="checkpointed_task", python_callable=_raise_checkpointed)
+        ti = create_runtime_ti(task=task)
+        log = mock.MagicMock()
+        context = ti.get_template_context()
+        state, _msg, _error = run(ti, context=context, log=log)
+        finalize(ti, state, context, log)
+
+        assert state == TaskInstanceState.CHECKPOINTED
+        assert received["called"] == 1
+        assert received["data"] == checkpoint_data
+
+
 class TestTaskInstanceMetrics:
     def test_ti_start_metric_emitted(self, create_runtime_ti, mock_supervisor_comms):
         """Test that ti.start metric is emitted at the beginning of task."""