diff --git a/providers/presto/src/airflow/providers/presto/hooks/presto.py b/providers/presto/src/airflow/providers/presto/hooks/presto.py
index c41901080effd..a3c1ff058f3ba 100644
--- a/providers/presto/src/airflow/providers/presto/hooks/presto.py
+++ b/providers/presto/src/airflow/providers/presto/hooks/presto.py
@@ -20,7 +20,7 @@
 import json
 import os
 from collections.abc import Iterable, Mapping
-from typing import TYPE_CHECKING, Any, TypeVar
+from typing import TYPE_CHECKING, Any, TypeVar, overload, Callable
 
 import prestodb
 from deprecated import deprecated
@@ -178,6 +178,52 @@ def get_first(
         except DatabaseError as e:
             raise PrestoException(e)
 
+    @overload
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = ...,
+        parameters: Iterable | Mapping[str, Any] | None = ...,
+        handler: None = ...,
+        split_statements: bool = ...,
+        return_last: bool = ...,
+    ) -> None: ...
+
+    @overload
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = ...,
+        parameters: Iterable | Mapping[str, Any] | None = ...,
+        handler: Callable[[Any], T] = ...,
+        split_statements: bool = ...,
+        return_last: bool = ...,
+    ) -> tuple | list[tuple] | list[list[tuple] | tuple] | None: ...
+
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = False,
+        parameters: Iterable | Mapping[str, Any] | None = None,
+        handler: Callable[[Any], T] | None = None,
+        split_statements: bool = True,
+        return_last: bool = True,
+    ) -> tuple | list[tuple] | list[list[tuple] | tuple] | None:
+        """
+        Overwrite common run. Default split_statements = True
+
+        :param sql: the sql statement to be executed (str) or a list of
+            sql statements to execute
+        :param autocommit: What to set the connection's autocommit setting to
+            before executing the query.
+        :param parameters: The parameters to render the SQL query with.
+        :param handler: The result handler which is called with the result of each statement.
+        :param split_statements: Whether to split a single SQL string into statements and run separately
+        :param return_last: Whether to return result for only last statement or for all after split
+        :return: if handler provided, returns query results (may be list of results depending on params)
+        """
+        return super().run(sql, autocommit, parameters, handler, split_statements, return_last)
+
     def _get_pandas_df(self, sql: str = "", parameters=None, **kwargs):
         try:
             import pandas as pd
diff --git a/providers/presto/tests/unit/presto/hooks/test_presto.py b/providers/presto/tests/unit/presto/hooks/test_presto.py
index 75c61f697c19a..19ebb67d17b7d 100644
--- a/providers/presto/tests/unit/presto/hooks/test_presto.py
+++ b/providers/presto/tests/unit/presto/hooks/test_presto.py
@@ -297,3 +297,12 @@ def test_split_sql_string(self):
     def test_serialize_cell(self):
         assert self.db_hook._serialize_cell("foo", None) == "foo"
         assert self.db_hook._serialize_cell(1, None) == 1
+
+    @patch("airflow.providers.presto.hooks.presto.PrestoHook.run")
+    def test_run(self, mock_run):
+        sql = "SELECT 1"
+        autocommit = False
+        parameters = ("hello", "world")
+        handler = list
+        self.db_hook.run(sql, autocommit, parameters, list)
+        mock_run.assert_called_once_with(sql, autocommit, parameters, handler, split_statements=True)
\ No newline at end of file
diff --git a/providers/trino/src/airflow/providers/trino/hooks/trino.py b/providers/trino/src/airflow/providers/trino/hooks/trino.py
index 35bb83cce2a8a..47555908a87dd 100644
--- a/providers/trino/src/airflow/providers/trino/hooks/trino.py
+++ b/providers/trino/src/airflow/providers/trino/hooks/trino.py
@@ -21,7 +21,7 @@
 import os
 from collections.abc import Iterable, Mapping
 from pathlib import Path
-from typing import TYPE_CHECKING, Any, TypeVar
+from typing import TYPE_CHECKING, Any, TypeVar, overload, Callable
 from urllib.parse import quote_plus, urlencode
 
 import trino
@@ -267,6 +267,52 @@ def _get_pandas_df(self, sql: str = "", parameters=None, **kwargs):
             df = pd.DataFrame(**kwargs)
         return df
 
+    @overload
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = ...,
+        parameters: Iterable | Mapping[str, Any] | None = ...,
+        handler: None = ...,
+        split_statements: bool = ...,
+        return_last: bool = ...,
+    ) -> None: ...
+
+    @overload
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = ...,
+        parameters: Iterable | Mapping[str, Any] | None = ...,
+        handler: Callable[[Any], T] = ...,
+        split_statements: bool = ...,
+        return_last: bool = ...,
+    ) -> tuple | list[tuple] | list[list[tuple] | tuple] | None: ...
+
+    def run(
+        self,
+        sql: str | Iterable[str],
+        autocommit: bool = False,
+        parameters: Iterable | Mapping[str, Any] | None = None,
+        handler: Callable[[Any], T] | None = None,
+        split_statements: bool = True,
+        return_last: bool = True,
+    ) -> tuple | list[tuple] | list[list[tuple] | tuple] | None:
+        """
+        Overwrite common run. Default split_statements = True
+
+        :param sql: the sql statement to be executed (str) or a list of
+            sql statements to execute
+        :param autocommit: What to set the connection's autocommit setting to
+            before executing the query.
+        :param parameters: The parameters to render the SQL query with.
+        :param handler: The result handler which is called with the result of each statement.
+        :param split_statements: Whether to split a single SQL string into statements and run separately
+        :param return_last: Whether to return result for only last statement or for all after split
+        :return: if handler provided, returns query results (may be list of results depending on params)
+        """
+        return super().run(sql, autocommit, parameters, handler, split_statements, return_last)
+
     def _get_polars_df(self, sql: str = "", parameters=None, **kwargs):
         try:
             import polars as pl
diff --git a/providers/trino/tests/unit/trino/hooks/test_trino.py b/providers/trino/tests/unit/trino/hooks/test_trino.py
index 02966d2e919f3..5abd6f37252c6 100644
--- a/providers/trino/tests/unit/trino/hooks/test_trino.py
+++ b/providers/trino/tests/unit/trino/hooks/test_trino.py
@@ -396,7 +396,7 @@ def test_run(self, mock_run):
         parameters = ("hello", "world")
         handler = list
         self.db_hook.run(sql, autocommit, parameters, list)
-        mock_run.assert_called_once_with(sql, autocommit, parameters, handler)
+        mock_run.assert_called_once_with(sql, autocommit, parameters, handler, split_statements=True)
 
     def test_connection_success(self):
         status, msg = self.db_hook.test_connection()