diff --git a/homeassistant/components/bayesian/binary_sensor.py b/homeassistant/components/bayesian/binary_sensor.py
index f3a7d08ffb96..28af050e85ee 100644
--- a/homeassistant/components/bayesian/binary_sensor.py
+++ b/homeassistant/components/bayesian/binary_sensor.py
@@ -22,6 +22,7 @@ from homeassistant.const import (
     CONF_NAME,
     CONF_PLATFORM,
     CONF_STATE,
+    CONF_UNIQUE_ID,
     CONF_VALUE_TEMPLATE,
     STATE_UNAVAILABLE,
     STATE_UNKNOWN,
@@ -100,6 +101,7 @@ TEMPLATE_SCHEMA = vol.Schema(
 PLATFORM_SCHEMA = PLATFORM_SCHEMA.extend(
     {
         vol.Optional(CONF_NAME, default=DEFAULT_NAME): cv.string,
+        vol.Optional(CONF_UNIQUE_ID): cv.string,
         vol.Optional(CONF_DEVICE_CLASS): cv.string,
         vol.Required(CONF_OBSERVATIONS): vol.Schema(
             vol.All(
@@ -134,6 +136,7 @@ async def async_setup_platform(
     await async_setup_reload_service(hass, DOMAIN, PLATFORMS)
 
     name: str = config[CONF_NAME]
+    unique_id: str | None = config.get(CONF_UNIQUE_ID)
     observations: list[ConfigType] = config[CONF_OBSERVATIONS]
     prior: float = config[CONF_PRIOR]
     probability_threshold: float = config[CONF_PROBABILITY_THRESHOLD]
@@ -152,7 +155,12 @@ async def async_setup_platform(
     async_add_entities(
         [
             BayesianBinarySensor(
-                name, prior, observations, probability_threshold, device_class
+                name,
+                unique_id,
+                prior,
+                observations,
+                probability_threshold,
+                device_class,
             )
         ]
     )
@@ -166,6 +174,7 @@ class BayesianBinarySensor(BinarySensorEntity):
     def __init__(
         self,
         name: str,
+        unique_id: str | None,
         prior: float,
         observations: list[ConfigType],
         probability_threshold: float,
@@ -173,6 +182,7 @@ class BayesianBinarySensor(BinarySensorEntity):
     ) -> None:
         """Initialize the Bayesian sensor."""
         self._attr_name = name
+        self._attr_unique_id = unique_id and f"bayesian-{unique_id}"
         self._observations = [
             Observation(
                 entity_id=observation.get(CONF_ENTITY_ID),
diff --git a/tests/components/bayesian/test_binary_sensor.py b/tests/components/bayesian/test_binary_sensor.py
index e16033c66a2e..4dd427050261 100644
--- a/tests/components/bayesian/test_binary_sensor.py
+++ b/tests/components/bayesian/test_binary_sensor.py
@@ -17,6 +17,7 @@ from homeassistant.const import (
     STATE_UNKNOWN,
 )
 from homeassistant.core import Context, callback
+from homeassistant.helpers.entity_registry import async_get as async_get_entities
 from homeassistant.helpers.event import async_track_state_change_event
 from homeassistant.helpers.issue_registry import async_get
 from homeassistant.setup import async_setup_component
@@ -31,6 +32,8 @@ async def test_load_values_when_added_to_hass(hass):
         "binary_sensor": {
             "name": "Test_Binary",
             "platform": "bayesian",
+            "unique_id": "3b4c9563-5e84-4167-8fe7-8f507e796d72",
+            "device_class": "connectivity",
             "observations": [
                 {
                     "platform": "state",
@@ -51,7 +54,14 @@ async def test_load_values_when_added_to_hass(hass):
     assert await async_setup_component(hass, "binary_sensor", config)
     await hass.async_block_till_done()
 
+    entity_registry = async_get_entities(hass)
+    assert (
+        entity_registry.entities["binary_sensor.test_binary"].unique_id
+        == "bayesian-3b4c9563-5e84-4167-8fe7-8f507e796d72"
+    )
+
     state = hass.states.get("binary_sensor.test_binary")
+    assert state.attributes.get("device_class") == "connectivity"
     assert state.attributes.get("observations")[0]["prob_given_true"] == 0.8
     assert state.attributes.get("observations")[0]["prob_given_false"] == 0.4