diff --git a/providers/google/src/airflow/providers/google/cloud/log/stackdriver_task_handler.py b/providers/google/src/airflow/providers/google/cloud/log/stackdriver_task_handler.py
index 41992d98ff24a..98c370e37555d 100644
--- a/providers/google/src/airflow/providers/google/cloud/log/stackdriver_task_handler.py
+++ b/providers/google/src/airflow/providers/google/cloud/log/stackdriver_task_handler.py
@@ -78,6 +78,7 @@
 LABEL_DAG_ID = "dag_id"
 LABEL_LOGICAL_DATE = "logical_date" if AIRFLOW_V_3_0_PLUS else "execution_date"
 LABEL_TRY_NUMBER = "try_number"
+LABEL_RUN_ID = "run_id"
 
 
 @attrs.define(kw_only=True)
@@ -197,8 +198,20 @@ def upload(self, path: os.PathLike | str, ti: RuntimeTI | None = None) -> None:
                 shutil.rmtree(parent, ignore_errors=True)
 
     def read(self, relative_path: str, ti: RuntimeTI) -> LogResponse:
-        """Read logs from Stackdriver Logging using task instance labels."""
-        ti_labels = _task_instance_to_labels(ti)
+        """Read logs from Stackdriver Logging using task instance labels.
+
+        Filters on ``run_id`` instead of ``logical_date`` because the supervisor
+        process that hosts ``REMOTE_TASK_LOG`` has no DB connection to convert
+        ``run_id`` → ``logical_date``.  The write path (Bug 1 / #68246) already
+        writes ``run_id`` as a label, so the read filter matches what was actually
+        written.
+        """
+        ti_labels = {
+            LABEL_DAG_ID: ti.dag_id,
+            LABEL_TASK_ID: ti.task_id,
+            LABEL_RUN_ID: ti.run_id,
+            LABEL_TRY_NUMBER: str(ti.try_number),
+        }
         log_filter = self.prepare_log_filter(ti_labels)
         messages, end_of_log, _ = self.read_logs(log_filter, next_page_token=None, all_pages=True)
         return [f"Reading remote log from Stackdriver for {relative_path}"], [messages] if messages else []
diff --git a/providers/google/tests/unit/google/cloud/log/test_stackdriver_task_handler.py b/providers/google/tests/unit/google/cloud/log/test_stackdriver_task_handler.py
index 0eb6c209f8fdb..c805bd866e427 100644
--- a/providers/google/tests/unit/google/cloud/log/test_stackdriver_task_handler.py
+++ b/providers/google/tests/unit/google/cloud/log/test_stackdriver_task_handler.py
@@ -78,10 +78,7 @@ def test_read_logs(self, mock_client, mock_get_creds_and_project_id):
         ti.task_id = "test_task"
         ti.dag_id = "test_dag"
         ti.try_number = 1
-        if AIRFLOW_V_3_0_PLUS:
-            ti.logical_date = timezone.datetime(2016, 1, 1)
-        else:
-            ti.execution_date = timezone.datetime(2016, 1, 1)
+        ti.run_id = "run1"
 
         messages, logs = self.io.read("dag_id=test_dag/run_id=run1/task_id=test_task/attempt=1.log", ti)
 
@@ -101,16 +98,45 @@ def test_read_logs_empty(self, mock_client, mock_get_creds_and_project_id):
         ti.task_id = "test_task"
         ti.dag_id = "test_dag"
         ti.try_number = 1
-        if AIRFLOW_V_3_0_PLUS:
-            ti.logical_date = timezone.datetime(2016, 1, 1)
-        else:
-            ti.execution_date = timezone.datetime(2016, 1, 1)
+        ti.run_id = "run1"
 
         messages, logs = self.io.read("test/path", ti)
 
         assert len(messages) == 1
         assert logs == []
 
+    @mock.patch("airflow.providers.google.cloud.log.stackdriver_task_handler.get_credentials_and_project_id")
+    @mock.patch("airflow.providers.google.cloud.log.stackdriver_task_handler.LoggingServiceV2Client")
+    def test_read_logs_uses_run_id_filter(self, mock_client, mock_get_creds_and_project_id):
+        """``read()`` must filter on ``run_id``, not ``logical_date``.
+
+        In AF3's supervisor model the REMOTE_TASK_LOG handler runs in the
+        supervisor process which has no DB connection to derive
+        ``logical_date`` from ``run_id``.  The read path must use ``run_id``
+        directly so it matches the label the write path already emits (Bug 1).
+        """
+        mock_client.return_value.list_log_entries.return_value.pages = iter(
+            [_create_list_log_entries_response_mock(["MSG1"], None)]
+        )
+        mock_get_creds_and_project_id.return_value = ("creds", "project_id")
+
+        ti = mock.MagicMock()
+        ti.task_id = "t"
+        ti.dag_id = "d"
+        ti.run_id = "run123"
+        ti.try_number = 2
+
+        messages, logs = self.io.read("dag_id=d/run_id=run123/task_id=t/attempt=2.log", ti)
+
+        request = mock_client.return_value.list_log_entries.call_args.kwargs["request"]
+        assert 'labels.run_id="run123"' in request.filter
+        assert 'labels.try_number="2"' in request.filter
+        assert 'labels.task_id="t"' in request.filter
+        assert 'labels.dag_id="d"' in request.filter
+        assert "logical_date" not in request.filter
+        assert "execution_date" not in request.filter
+        assert logs == ["MSG1"]
+
     @mock.patch("airflow.providers.google.cloud.log.stackdriver_task_handler.get_credentials_and_project_id")
     @mock.patch("airflow.providers.google.cloud.log.stackdriver_task_handler.gcp_logging.Client")
     def test_credentials(self, mock_client, mock_get_creds_and_project_id):