diff --git a/homeassistant/components/homeassistant/triggers/time.py b/homeassistant/components/homeassistant/triggers/time.py
index bea6e8a66a7..5cd1921d8a8 100644
--- a/homeassistant/components/homeassistant/triggers/time.py
+++ b/homeassistant/components/homeassistant/triggers/time.py
@@ -42,7 +42,7 @@ _TIME_AT_SCHEMA = vol.Any(cv.time, _TIME_TRIGGER_ENTITY)
 
 _TIME_TRIGGER_ENTITY_WITH_OFFSET = vol.Schema(
     {
-        vol.Required(CONF_ENTITY_ID): cv.entity_domain(["sensor"]),
+        vol.Required(CONF_ENTITY_ID): cv.entity_domain(["input_datetime", "sensor"]),
         vol.Optional(CONF_OFFSET): cv.time_period,
     }
 )
@@ -156,14 +156,17 @@ async def async_attach_trigger(
 
             if has_date:
                 # If input_datetime has date, then track point in time.
-                trigger_dt = datetime(
-                    year,
-                    month,
-                    day,
-                    hour,
-                    minute,
-                    second,
-                    tzinfo=dt_util.get_default_time_zone(),
+                trigger_dt = (
+                    datetime(
+                        year,
+                        month,
+                        day,
+                        hour,
+                        minute,
+                        second,
+                        tzinfo=dt_util.get_default_time_zone(),
+                    )
+                    + offset
                 )
                 # Only set up listener if time is now or in the future.
                 if trigger_dt >= dt_util.now():
@@ -178,6 +181,17 @@ async def async_attach_trigger(
                     )
             elif has_time:
                 # Else if it has time, then track time change.
+                if offset != timedelta(0):
+                    # Create a temporary datetime object to get an offset.
+                    temp_dt = dt_util.now().replace(
+                        hour=hour, minute=minute, second=second, microsecond=0
+                    )
+                    temp_dt += offset
+                    # Ignore the date and apply the offset even if it wraps
+                    # around to the next day.
+                    hour = temp_dt.hour
+                    minute = temp_dt.minute
+                    second = temp_dt.second
                 remove = async_track_time_change(
                     hass,
                     partial(
diff --git a/tests/components/homeassistant/triggers/test_time.py b/tests/components/homeassistant/triggers/test_time.py
index 8900998a7b8..40f62baa5e7 100644
--- a/tests/components/homeassistant/triggers/test_time.py
+++ b/tests/components/homeassistant/triggers/test_time.py
@@ -156,6 +156,86 @@ async def test_if_fires_using_at_input_datetime(
     )
 
 
+@pytest.mark.parametrize(("hour"), [0, 5, 23])
+@pytest.mark.parametrize(
+    ("has_date", "has_time"), [(True, True), (False, True), (True, False)]
+)
+@pytest.mark.parametrize(
+    ("offset", "delta"),
+    [
+        ("00:00:10", timedelta(seconds=10)),
+        ("-00:00:10", timedelta(seconds=-10)),
+        ({"minutes": 5}, timedelta(minutes=5)),
+        ("01:00:10", timedelta(hours=1, seconds=10)),
+    ],
+)
+async def test_if_fires_using_at_input_datetime_with_offset(
+    hass: HomeAssistant,
+    freezer: FrozenDateTimeFactory,
+    service_calls: list[ServiceCall],
+    has_date: bool,
+    has_time: bool,
+    offset: str,
+    delta: timedelta,
+    hour: int,
+) -> None:
+    """Test for firing at input_datetime."""
+    await async_setup_component(
+        hass,
+        "input_datetime",
+        {"input_datetime": {"trigger": {"has_date": has_date, "has_time": has_time}}},
+    )
+    now = dt_util.now()
+
+    start_dt = now.replace(
+        hour=hour if has_time else 0, minute=0, second=0, microsecond=0
+    ) + timedelta(2)
+    trigger_dt = start_dt + delta
+
+    await hass.services.async_call(
+        "input_datetime",
+        "set_datetime",
+        {
+            ATTR_ENTITY_ID: "input_datetime.trigger",
+            "datetime": str(start_dt.replace(tzinfo=None)),
+        },
+        blocking=True,
+    )
+    await hass.async_block_till_done()
+
+    time_that_will_not_match_right_away = trigger_dt - timedelta(minutes=1)
+
+    some_data = "{{ trigger.platform }}-{{ trigger.now.day }}-{{ trigger.now.hour }}-{{trigger.entity_id}}"
+
+    freezer.move_to(dt_util.as_utc(time_that_will_not_match_right_away))
+    assert await async_setup_component(
+        hass,
+        automation.DOMAIN,
+        {
+            automation.DOMAIN: {
+                "trigger": {
+                    "platform": "time",
+                    "at": {"entity_id": "input_datetime.trigger", "offset": offset},
+                },
+                "action": {
+                    "service": "test.automation",
+                    "data_template": {"some": some_data},
+                },
+            }
+        },
+    )
+    await hass.async_block_till_done()
+
+    async_fire_time_changed(hass, trigger_dt + timedelta(seconds=1))
+    await hass.async_block_till_done()
+
+    assert len(service_calls) == 2
+    assert (
+        service_calls[1].data["some"]
+        == f"time-{trigger_dt.day}-{trigger_dt.hour}-input_datetime.trigger"
+    )
+
+
 @pytest.mark.parametrize(
     ("conf_at", "trigger_deltas"),
     [
@@ -654,10 +734,6 @@ def test_schema_valid(conf) -> None:
         {"platform": "time", "at": "binary_sensor.bla"},
         {"platform": "time", "at": 745},
         {"platform": "time", "at": "25:00"},
-        {
-            "platform": "time",
-            "at": {"entity_id": "input_datetime.bla", "offset": "0:10"},
-        },
         {"platform": "time", "at": {"entity_id": "13:00:00", "offset": "0:10"}},
     ],
 )