diff --git a/taskiq/middlewares/simple_retry_middleware.py b/taskiq/middlewares/simple_retry_middleware.py
index 0eaee1b..ca16088 100644
--- a/taskiq/middlewares/simple_retry_middleware.py
+++ b/taskiq/middlewares/simple_retry_middleware.py
@@ -1,5 +1,5 @@
 from logging import getLogger
-from typing import Any
+from typing import Any, Iterable, Optional
 
 from taskiq.abc.middleware import TaskiqMiddleware
 from taskiq.exceptions import NoResultError
@@ -18,10 +18,12 @@ def __init__(
         default_retry_count: int = 3,
         default_retry_label: bool = False,
         no_result_on_retry: bool = True,
+        types_of_exceptions: Optional[Iterable[type[BaseException]]] = None,
     ) -> None:
         self.default_retry_count = default_retry_count
         self.default_retry_label = default_retry_label
         self.no_result_on_retry = no_result_on_retry
+        self.types_of_exceptions = types_of_exceptions
 
     async def on_error(
         self,
@@ -42,6 +44,12 @@ async def on_error(
         :param result: execution result.
         :param exception: found exception.
         """
+        if self.types_of_exceptions is not None and not isinstance(
+            exception,
+            tuple(self.types_of_exceptions),
+        ):
+            return
+
         # Valid exception
         if isinstance(exception, NoResultError):
             return
diff --git a/taskiq/middlewares/smart_retry_middleware.py b/taskiq/middlewares/smart_retry_middleware.py
index ef0bcb6..3089d24 100644
--- a/taskiq/middlewares/smart_retry_middleware.py
+++ b/taskiq/middlewares/smart_retry_middleware.py
@@ -1,7 +1,7 @@
 import datetime
 import random
 from logging import getLogger
-from typing import Any, Optional
+from typing import Any, Iterable, Optional
 
 from taskiq import ScheduleSource
 from taskiq.abc.middleware import TaskiqMiddleware
@@ -35,6 +35,7 @@ def __init__(
         use_delay_exponent: bool = False,
         max_delay_exponent: float = 60,
         schedule_source: Optional[ScheduleSource] = None,
+        types_of_exceptions: Optional[Iterable[type[BaseException]]] = None,
     ) -> None:
         """
         Initialize retry middleware.
@@ -48,6 +49,7 @@ def __init__(
         :param max_delay_exponent: Maximum allowed delay when using backoff.
         :param schedule_source: Schedule source to use for scheduling.
             If None, the default broker will be used.
+        :param types_of_exceptions: Types of exceptions to retry from.
         """
         super().__init__()
         self.default_retry_count = default_retry_count
@@ -58,6 +60,7 @@ def __init__(
         self.use_delay_exponent = use_delay_exponent
         self.max_delay_exponent = max_delay_exponent
         self.schedule_source = schedule_source
+        self.types_of_exceptions = types_of_exceptions
 
         if not isinstance(schedule_source, (ScheduleSource, type(None))):
             raise TypeError(
@@ -138,6 +141,12 @@ async def on_error(
         :param result: Execution result.
         :param exception: Caught exception.
         """
+        if self.types_of_exceptions is not None and not isinstance(
+            exception,
+            tuple(self.types_of_exceptions),
+        ):
+            return
+
         if isinstance(exception, NoResultError):
             return
 
diff --git a/tests/middlewares/test_task_retry.py b/tests/middlewares/test_task_retry.py
index 7544ab6..8d5dfca 100644
--- a/tests/middlewares/test_task_retry.py
+++ b/tests/middlewares/test_task_retry.py
@@ -2,7 +2,7 @@
 
 import pytest
 
-from taskiq import InMemoryBroker, SimpleRetryMiddleware
+from taskiq import InMemoryBroker, SimpleRetryMiddleware, SmartRetryMiddleware
 from taskiq.exceptions import NoResultError
 
 
@@ -151,3 +151,109 @@ def run_task() -> str:
 
     assert runs == 1
     assert str(resp.error) == str(runs)
+
+
+@pytest.mark.anyio
+async def test_retry_of_custom_exc_types_of_simple_middleware() -> None:
+    # test that the passed error will be handled
+    broker = InMemoryBroker().with_middlewares(
+        SimpleRetryMiddleware(
+            no_result_on_retry=True,
+            default_retry_label=True,
+            types_of_exceptions=(KeyError, ValueError),
+        ),
+    )
+    runs = 0
+
+    @broker.task(max_retries=10)
+    def run_task() -> None:
+        nonlocal runs
+
+        runs += 1
+
+        raise ValueError(runs)
+
+    task = await run_task.kiq()
+    resp = await task.wait_result(timeout=1)
+    with pytest.raises(ValueError):
+        resp.raise_for_error()
+
+    assert runs == 10
+
+    # test that an untransmitted error will not be handled
+    broker = InMemoryBroker().with_middlewares(
+        SimpleRetryMiddleware(
+            no_result_on_retry=True,
+            default_retry_label=True,
+            types_of_exceptions=(KeyError,),
+        ),
+    )
+    runs = 0
+
+    @broker.task(max_retries=10)
+    def run_task2() -> None:
+        nonlocal runs
+
+        runs += 1
+
+        raise ValueError(runs)
+
+    task = await run_task2.kiq()
+    resp = await task.wait_result(timeout=1)
+    with pytest.raises(ValueError):
+        resp.raise_for_error()
+
+    assert runs == 1
+
+
+@pytest.mark.anyio
+async def test_retry_of_custom_exc_types_of_smart_middleware() -> None:
+    # test that the passed error will be handled
+    broker = InMemoryBroker().with_middlewares(
+        SmartRetryMiddleware(
+            no_result_on_retry=True,
+            default_retry_label=True,
+            types_of_exceptions=(KeyError, ValueError),
+        ),
+    )
+    runs = 0
+
+    @broker.task(max_retries=10)
+    def run_task() -> None:
+        nonlocal runs
+
+        runs += 1
+
+        raise ValueError(runs)
+
+    task = await run_task.kiq()
+    resp = await task.wait_result(timeout=1)
+    with pytest.raises(ValueError):
+        resp.raise_for_error()
+
+    assert runs == 10
+
+    # test that an untransmitted error will not be handled
+    broker = InMemoryBroker().with_middlewares(
+        SmartRetryMiddleware(
+            no_result_on_retry=True,
+            default_retry_label=True,
+            types_of_exceptions=(KeyError,),
+        ),
+    )
+    runs = 0
+
+    @broker.task(max_retries=10)
+    def run_task2() -> None:
+        nonlocal runs
+
+        runs += 1
+
+        raise ValueError(runs)
+
+    task = await run_task2.kiq()
+    resp = await task.wait_result(timeout=1)
+    with pytest.raises(ValueError):
+        resp.raise_for_error()
+
+    assert runs == 1