diff --git a/homeassistant/components/alexa/capabilities.py b/homeassistant/components/alexa/capabilities.py
index 09b461428ac..b2cda8ad76e 100644
--- a/homeassistant/components/alexa/capabilities.py
+++ b/homeassistant/components/alexa/capabilities.py
@@ -816,13 +816,19 @@ class AlexaPlaybackController(AlexaCapability):
         """
         supported_features = self.entity.attributes.get(ATTR_SUPPORTED_FEATURES, 0)
 
-        operations = {
-            media_player.MediaPlayerEntityFeature.NEXT_TRACK: "Next",
-            media_player.MediaPlayerEntityFeature.PAUSE: "Pause",
-            media_player.MediaPlayerEntityFeature.PLAY: "Play",
-            media_player.MediaPlayerEntityFeature.PREVIOUS_TRACK: "Previous",
-            media_player.MediaPlayerEntityFeature.STOP: "Stop",
-        }
+        operations: dict[
+            cover.CoverEntityFeature | media_player.MediaPlayerEntityFeature, str
+        ]
+        if self.entity.domain == cover.DOMAIN:
+            operations = {cover.CoverEntityFeature.STOP: "Stop"}
+        else:
+            operations = {
+                media_player.MediaPlayerEntityFeature.NEXT_TRACK: "Next",
+                media_player.MediaPlayerEntityFeature.PAUSE: "Pause",
+                media_player.MediaPlayerEntityFeature.PLAY: "Play",
+                media_player.MediaPlayerEntityFeature.PREVIOUS_TRACK: "Previous",
+                media_player.MediaPlayerEntityFeature.STOP: "Stop",
+            }
 
         return [
             value
diff --git a/homeassistant/components/alexa/entities.py b/homeassistant/components/alexa/entities.py
index ca7b389a0f1..8c139d66369 100644
--- a/homeassistant/components/alexa/entities.py
+++ b/homeassistant/components/alexa/entities.py
@@ -559,6 +559,10 @@ class CoverCapabilities(AlexaEntity):
             )
         if supported & cover.CoverEntityFeature.SET_TILT_POSITION:
             yield AlexaRangeController(self.entity, instance=f"{cover.DOMAIN}.tilt")
+        if supported & (
+            cover.CoverEntityFeature.STOP | cover.CoverEntityFeature.STOP_TILT
+        ):
+            yield AlexaPlaybackController(self.entity, instance=f"{cover.DOMAIN}.stop")
         yield AlexaEndpointHealth(self.hass, self.entity)
         yield Alexa(self.entity)
 
diff --git a/homeassistant/components/alexa/handlers.py b/homeassistant/components/alexa/handlers.py
index 8ea61ddbceb..89e47673f07 100644
--- a/homeassistant/components/alexa/handlers.py
+++ b/homeassistant/components/alexa/handlers.py
@@ -2,6 +2,7 @@
 
 from __future__ import annotations
 
+import asyncio
 from collections.abc import Callable, Coroutine
 import logging
 import math
@@ -764,9 +765,25 @@ async def async_api_stop(
     entity = directive.entity
     data: dict[str, Any] = {ATTR_ENTITY_ID: entity.entity_id}
 
-    await hass.services.async_call(
-        entity.domain, SERVICE_MEDIA_STOP, data, blocking=False, context=context
-    )
+    if entity.domain == cover.DOMAIN:
+        supported: int = entity.attributes.get(ATTR_SUPPORTED_FEATURES, 0)
+        feature_services: dict[int, str] = {
+            cover.CoverEntityFeature.STOP.value: cover.SERVICE_STOP_COVER,
+            cover.CoverEntityFeature.STOP_TILT.value: cover.SERVICE_STOP_COVER_TILT,
+        }
+        await asyncio.gather(
+            *(
+                hass.services.async_call(
+                    entity.domain, service, data, blocking=False, context=context
+                )
+                for feature, service in feature_services.items()
+                if feature & supported
+            )
+        )
+    else:
+        await hass.services.async_call(
+            entity.domain, SERVICE_MEDIA_STOP, data, blocking=False, context=context
+        )
 
     return directive.response()
 
diff --git a/tests/components/alexa/test_smart_home.py b/tests/components/alexa/test_smart_home.py
index 68010a6a711..e4a46db7d34 100644
--- a/tests/components/alexa/test_smart_home.py
+++ b/tests/components/alexa/test_smart_home.py
@@ -4546,6 +4546,7 @@ async def test_presence_sensor(hass: HomeAssistant) -> None:
         "tilt_position_attr_in_service_call",
         "supported_features",
         "service_call",
+        "stop_feature_enabled",
     ),
     [
         (
@@ -4556,6 +4557,7 @@ async def test_presence_sensor(hass: HomeAssistant) -> None:
             | CoverEntityFeature.CLOSE_TILT
             | CoverEntityFeature.STOP_TILT,
             "cover.set_cover_tilt_position",
+            True,
         ),
         (
             0,
@@ -4565,6 +4567,7 @@ async def test_presence_sensor(hass: HomeAssistant) -> None:
             | CoverEntityFeature.CLOSE_TILT
             | CoverEntityFeature.STOP_TILT,
             "cover.close_cover_tilt",
+            True,
         ),
         (
             99,
@@ -4574,6 +4577,7 @@ async def test_presence_sensor(hass: HomeAssistant) -> None:
             | CoverEntityFeature.CLOSE_TILT
             | CoverEntityFeature.STOP_TILT,
             "cover.set_cover_tilt_position",
+            True,
         ),
         (
             100,
@@ -4583,36 +4587,42 @@ async def test_presence_sensor(hass: HomeAssistant) -> None:
             | CoverEntityFeature.CLOSE_TILT
             | CoverEntityFeature.STOP_TILT,
             "cover.open_cover_tilt",
+            True,
         ),
         (
             0,
             0,
             CoverEntityFeature.SET_TILT_POSITION,
             "cover.set_cover_tilt_position",
+            False,
         ),
         (
             60,
             60,
             CoverEntityFeature.SET_TILT_POSITION,
             "cover.set_cover_tilt_position",
+            False,
         ),
         (
             100,
             100,
             CoverEntityFeature.SET_TILT_POSITION,
             "cover.set_cover_tilt_position",
+            False,
         ),
         (
             0,
             0,
             CoverEntityFeature.SET_TILT_POSITION | CoverEntityFeature.OPEN_TILT,
             "cover.set_cover_tilt_position",
+            False,
         ),
         (
             100,
             100,
             CoverEntityFeature.SET_TILT_POSITION | CoverEntityFeature.CLOSE_TILT,
             "cover.set_cover_tilt_position",
+            False,
         ),
     ],
     ids=[
@@ -4633,6 +4643,7 @@ async def test_cover_tilt_position(
     tilt_position_attr_in_service_call: int | None,
     supported_features: CoverEntityFeature,
     service_call: str,
+    stop_feature_enabled: bool,
 ) -> None:
     """Test cover discovery and tilt position using rangeController."""
     device = (
@@ -4651,12 +4662,24 @@ async def test_cover_tilt_position(
     assert appliance["displayCategories"][0] == "INTERIOR_BLIND"
     assert appliance["friendlyName"] == "Test cover tilt range"
 
+    expected_interfaces: dict[bool, list[str]] = {
+        False: [
+            "Alexa.PowerController",
+            "Alexa.RangeController",
+            "Alexa.EndpointHealth",
+            "Alexa",
+        ],
+        True: [
+            "Alexa.PowerController",
+            "Alexa.RangeController",
+            "Alexa.PlaybackController",
+            "Alexa.EndpointHealth",
+            "Alexa",
+        ],
+    }
+
     capabilities = assert_endpoint_capabilities(
-        appliance,
-        "Alexa.PowerController",
-        "Alexa.RangeController",
-        "Alexa.EndpointHealth",
-        "Alexa",
+        appliance, *expected_interfaces[stop_feature_enabled]
     )
 
     range_capability = get_capability(capabilities, "Alexa.RangeController")
@@ -4713,6 +4736,7 @@ async def test_cover_tilt_position_range(hass: HomeAssistant) -> None:
         appliance,
         "Alexa.PowerController",
         "Alexa.RangeController",
+        "Alexa.PlaybackController",
         "Alexa.EndpointHealth",
         "Alexa",
     )
@@ -4767,6 +4791,66 @@ async def test_cover_tilt_position_range(hass: HomeAssistant) -> None:
     )
 
 
+@pytest.mark.parametrize(
+    ("supported_stop_features", "cover_stop_calls", "cover_stop_tilt_calls"),
+    [
+        (CoverEntityFeature(0), 0, 0),
+        (CoverEntityFeature.STOP, 1, 0),
+        (CoverEntityFeature.STOP_TILT, 0, 1),
+        (CoverEntityFeature.STOP | CoverEntityFeature.STOP_TILT, 1, 1),
+    ],
+    ids=["no_stop", "stop_cover", "stop_cover_tilt", "stop_cover_and_stop_cover_tilt"],
+)
+async def test_cover_stop(
+    hass: HomeAssistant,
+    supported_stop_features: CoverEntityFeature,
+    cover_stop_calls: int,
+    cover_stop_tilt_calls: int,
+) -> None:
+    """Test cover and cover tilt can be stopped."""
+
+    base_features = (
+        CoverEntityFeature.OPEN
+        | CoverEntityFeature.CLOSE
+        | CoverEntityFeature.OPEN_TILT
+        | CoverEntityFeature.CLOSE_TILT
+        | CoverEntityFeature.SET_POSITION
+        | CoverEntityFeature.SET_TILT_POSITION
+    )
+
+    device = (
+        "cover.test_semantics",
+        "open",
+        {
+            "friendly_name": "Test cover semantics",
+            "device_class": "blind",
+            "supported_features": int(base_features | supported_stop_features),
+            "current_position": 30,
+            "tilt_position": 30,
+        },
+    )
+    appliance = await discovery_test(device, hass)
+
+    assert appliance["endpointId"] == "cover#test_semantics"
+    assert appliance["displayCategories"][0] == "INTERIOR_BLIND"
+    assert appliance["friendlyName"] == "Test cover semantics"
+
+    calls_stop = async_mock_service(hass, "cover", "stop_cover")
+    calls_stop_tilt = async_mock_service(hass, "cover", "stop_cover_tilt")
+
+    context = Context()
+    request = get_new_request(
+        "Alexa.PlaybackController", "Stop", "cover#test_semantics"
+    )
+    await smart_home.async_handle_message(
+        hass, get_default_config(hass), request, context
+    )
+    await hass.async_block_till_done()
+
+    assert len(calls_stop) == cover_stop_calls
+    assert len(calls_stop_tilt) == cover_stop_tilt_calls
+
+
 async def test_cover_semantics_position_and_tilt(hass: HomeAssistant) -> None:
     """Test cover discovery and semantics with position and tilt support."""
     device = (
@@ -4790,10 +4874,30 @@ async def test_cover_semantics_position_and_tilt(hass: HomeAssistant) -> None:
         appliance,
         "Alexa.PowerController",
         "Alexa.RangeController",
+        "Alexa.PlaybackController",
         "Alexa.EndpointHealth",
         "Alexa",
     )
 
+    playback_controller_capability = get_capability(
+        capabilities, "Alexa.PlaybackController"
+    )
+    assert playback_controller_capability is not None
+    assert playback_controller_capability["supportedOperations"] == ["Stop"]
+
+    # Assert both the cover and tilt stop calls are invoked
+    stop_cover_tilt_calls = async_mock_service(hass, "cover", "stop_cover_tilt")
+    await assert_request_calls_service(
+        "Alexa.PlaybackController",
+        "Stop",
+        "cover#test_semantics",
+        "cover.stop_cover",
+        hass,
+    )
+    assert len(stop_cover_tilt_calls) == 1
+    call = stop_cover_tilt_calls[0]
+    assert call.data == {"entity_id": "cover.test_semantics"}
+
     # Assert for Position Semantics
     position_capability = get_capability(
         capabilities, "Alexa.RangeController", "cover.position"