diff --git a/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml b/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
index 6dc989b00d56d..37e80e9a28aab 100644
--- a/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
+++ b/airflow-core/src/airflow/api_fastapi/core_api/openapi/v2-rest-api-generated.yaml
@@ -6608,7 +6608,7 @@ paths:
         required: true
         schema:
           type: integer
-          exclusiveMinimum: 0
+          minimum: 0
           title: Try Number
       - name: full_content
         in: query
diff --git a/airflow-core/src/airflow/api_fastapi/core_api/routes/public/log.py b/airflow-core/src/airflow/api_fastapi/core_api/routes/public/log.py
index 01cf859f05efd..277e705c18d2f 100644
--- a/airflow-core/src/airflow/api_fastapi/core_api/routes/public/log.py
+++ b/airflow-core/src/airflow/api_fastapi/core_api/routes/public/log.py
@@ -22,7 +22,7 @@
 
 from fastapi import Depends, HTTPException, Request, Response, status
 from itsdangerous import BadSignature, URLSafeSerializer
-from pydantic import PositiveInt
+from pydantic import NonNegativeInt, PositiveInt
 from sqlalchemy.orm import joinedload
 from sqlalchemy.sql import select
 
@@ -75,7 +75,7 @@ def get_log(
     dag_id: str,
     dag_run_id: str,
     task_id: str,
-    try_number: PositiveInt,
+    try_number: NonNegativeInt,
     accept: HeaderAcceptJsonOrNdjson,
     request: Request,
     dag_bag: DagBagDep,
diff --git a/airflow-core/src/airflow/ui/src/pages/TaskInstance/Logs/Logs.tsx b/airflow-core/src/airflow/ui/src/pages/TaskInstance/Logs/Logs.tsx
index c6259979950b6..a96f0c969c93a 100644
--- a/airflow-core/src/airflow/ui/src/pages/TaskInstance/Logs/Logs.tsx
+++ b/airflow-core/src/airflow/ui/src/pages/TaskInstance/Logs/Logs.tsx
@@ -91,7 +91,7 @@ export const Logs = () => {
     logLevelFilters,
     sourceFilters,
     taskInstance,
-    tryNumber: tryNumber === 0 ? 1 : tryNumber,
+    tryNumber,
   });
 
   const externalLogName = useConfig("external_log_name") as string;
diff --git a/airflow-core/src/airflow/utils/log/file_task_handler.py b/airflow-core/src/airflow/utils/log/file_task_handler.py
index 84987d1a20110..9b086457f604d 100644
--- a/airflow-core/src/airflow/utils/log/file_task_handler.py
+++ b/airflow-core/src/airflow/utils/log/file_task_handler.py
@@ -482,6 +482,15 @@ def read(
         """
         if try_number is None:
             try_number = task_instance.try_number
+
+        if task_instance.state == TaskInstanceState.SKIPPED:
+            logs = [
+                StructuredLogMessage(  # type: ignore[call-arg]
+                    event="Task was skipped, no logs available."
+                )
+            ]
+            return logs, {"end_of_log": True}
+
         if try_number is None or try_number < 1:
             logs = [
                 StructuredLogMessage(  # type: ignore[call-arg]
diff --git a/airflow-core/tests/unit/utils/test_log_handlers.py b/airflow-core/tests/unit/utils/test_log_handlers.py
index 5813c22819eec..286eae5c84255 100644
--- a/airflow-core/tests/unit/utils/test_log_handlers.py
+++ b/airflow-core/tests/unit/utils/test_log_handlers.py
@@ -151,6 +151,43 @@ def task_callable(ti):
         # Remove the generated tmp log file.
         os.remove(log_filename)
 
+    def test_file_task_handler_when_ti_is_skipped(self, dag_maker):
+        def task_callable(ti):
+            ti.log.info("test")
+
+        with dag_maker("dag_for_testing_file_task_handler", schedule=None):
+            task = PythonOperator(
+                task_id="task_for_testing_file_log_handler",
+                python_callable=task_callable,
+            )
+        dagrun = dag_maker.create_dagrun()
+        ti = TaskInstance(task=task, run_id=dagrun.run_id)
+
+        ti.try_number = 0
+        ti.state = State.SKIPPED
+
+        logger = ti.log
+        ti.log.disabled = False
+
+        file_handler = next(
+            (handler for handler in logger.handlers if handler.name == FILE_TASK_HANDLER), None
+        )
+        assert file_handler is not None
+
+        set_context(logger, ti)
+        assert file_handler.handler is not None
+        # We expect set_context generates a file locally.
+        log_filename = file_handler.handler.baseFilename
+        assert os.path.isfile(log_filename)
+        assert log_filename.endswith("0.log"), log_filename
+
+        # Return value of read must be a tuple of list and list.
+        logs, metadata = file_handler.read(ti)
+        assert logs[0].event == "Task was skipped, no logs available."
+
+        # Remove the generated tmp log file.
+        os.remove(log_filename)
+
     @pytest.mark.xfail(reason="TODO: Needs to be ported over to the new structlog based logging")
     def test_file_task_handler(self, dag_maker, session):
         def task_callable(ti):