diff --git a/homeassistant/components/sensor/const.py b/homeassistant/components/sensor/const.py
index aad882821d6..3dc8f878791 100644
--- a/homeassistant/components/sensor/const.py
+++ b/homeassistant/components/sensor/const.py
@@ -640,7 +640,11 @@ DEVICE_CLASS_STATE_CLASSES: dict[SensorDeviceClass, set[SensorStateClass]] = {
         SensorStateClass.TOTAL,
         SensorStateClass.TOTAL_INCREASING,
     },
-    SensorDeviceClass.WEIGHT: {SensorStateClass.MEASUREMENT},
+    SensorDeviceClass.WEIGHT: {
+        SensorStateClass.MEASUREMENT,
+        SensorStateClass.TOTAL,
+        SensorStateClass.TOTAL_INCREASING,
+    },
     SensorDeviceClass.WIND_SPEED: {SensorStateClass.MEASUREMENT},
 }
 
diff --git a/tests/components/sensor/test_recorder.py b/tests/components/sensor/test_recorder.py
index 2dcc873ca8b..b4b535473c1 100644
--- a/tests/components/sensor/test_recorder.py
+++ b/tests/components/sensor/test_recorder.py
@@ -988,6 +988,7 @@ async def test_compile_hourly_sum_statistics_amount(
         ("monetary", "SEK", "SEK", "SEK", None, 1),
         ("gas", "m³", "m³", "m³", "volume", 1),
         ("gas", "ft³", "ft³", "ft³", "volume", 1),
+        ("weight", "kg", "kg", "kg", "mass", 1),
     ],
 )
 def test_compile_hourly_sum_statistics_amount_reset_every_state_change(
@@ -1457,6 +1458,7 @@ def test_compile_hourly_sum_statistics_negative_state(
         ("monetary", "SEK", "SEK", "SEK", None, 1),
         ("gas", "m³", "m³", "m³", "volume", 1),
         ("gas", "ft³", "ft³", "ft³", "volume", 1),
+        ("weight", "kg", "kg", "kg", "mass", 1),
     ],
 )
 def test_compile_hourly_sum_statistics_total_no_reset(
@@ -1569,6 +1571,7 @@ def test_compile_hourly_sum_statistics_total_no_reset(
         ("energy", "Wh", "Wh", "Wh", "energy", 1),
         ("gas", "m³", "m³", "m³", "volume", 1),
         ("gas", "ft³", "ft³", "ft³", "volume", 1),
+        ("weight", "kg", "kg", "kg", "mass", 1),
     ],
 )
 def test_compile_hourly_sum_statistics_total_increasing(
@@ -1679,7 +1682,10 @@ def test_compile_hourly_sum_statistics_total_increasing(
         "unit_class",
         "factor",
     ),
-    [("energy", "kWh", "kWh", "kWh", "energy", 1)],
+    [
+        ("energy", "kWh", "kWh", "kWh", "energy", 1),
+        ("weight", "kg", "kg", "kg", "mass", 1),
+    ],
 )
 def test_compile_hourly_sum_statistics_total_increasing_small_dip(
     hass_recorder: Callable[..., HomeAssistant],