diff --git a/tenacity/retry.py b/tenacity/retry.py
index df0cc4d6..786c6586 100644
--- a/tenacity/retry.py
+++ b/tenacity/retry.py
@@ -114,6 +114,20 @@ def _check(self, e: BaseException) -> bool:
         return isinstance(e, self.exception_types)
 
 
+def _signals_control_flow(e: BaseException) -> bool:
+    """Whether ``e`` interrupts execution rather than reporting a failure.
+
+    ``asyncio.CancelledError``, ``KeyboardInterrupt``, ``SystemExit`` and
+    ``GeneratorExit`` derive from ``BaseException`` but not ``Exception``,
+    precisely so that blanket handlers leave them alone. Retrying one swallows
+    the cancellation, which breaks ``asyncio.wait_for`` and Ctrl-C.
+
+    ``retry_if_exception_type`` defaults to ``Exception`` and so already skips
+    them; it stays the explicit opt-in for retrying one on purpose.
+    """
+    return not isinstance(e, Exception)
+
+
 class retry_if_not_exception_type(retry_if_exception):
     """Retries except an exception has been raised of one or more types."""
 
@@ -126,6 +140,8 @@ def __init__(
         super().__init__(self._check)
 
     def _check(self, e: BaseException) -> bool:
+        if _signals_control_flow(e):
+            return False
         return not isinstance(e, self.exception_types)
 
 
@@ -141,6 +157,8 @@ def __init__(
         super().__init__(self._check)
 
     def _check(self, e: BaseException) -> bool:
+        if _signals_control_flow(e):
+            return False
         return not isinstance(e, self.exception_types)
 
     def __call__(self, retry_state: "RetryCallState") -> bool:
diff --git a/tests/test_tenacity.py b/tests/test_tenacity.py
index b2c0289a..1f2eba65 100644
--- a/tests/test_tenacity.py
+++ b/tests/test_tenacity.py
@@ -13,6 +13,7 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
+import asyncio
 import contextlib
 import datetime
 import logging
@@ -728,6 +729,56 @@ def r(fut: tenacity.Future) -> bool:
         self.assertTrue(r(tenacity.Future.construct(1, 2, False)))
         self.assertFalse(r(tenacity.Future.construct(1, 1, False)))
 
+    def _exception_retry_state(self, exc: BaseException) -> "tenacity.RetryCallState":
+        return make_retry_state(
+            1, 1.0, last_result=tenacity.Future.construct(1, exc, True)
+        )
+
+    def test_retry_if_not_exception_type_skips_base_exceptions(self) -> None:
+        """A BaseException that is not an Exception is control flow, not a failure.
+
+        Retrying asyncio.CancelledError swallows a cancellation, which breaks
+        asyncio.wait_for.
+        """
+        retry = tenacity.retry_if_not_exception_type(IOError)
+
+        for exc in (
+            asyncio.CancelledError(),
+            KeyboardInterrupt(),
+            SystemExit(),
+            GeneratorExit(),
+        ):
+            self.assertFalse(retry(self._exception_retry_state(exc)), repr(exc))
+
+    def test_retry_unless_exception_type_skips_base_exceptions(self) -> None:
+        retry = tenacity.retry_unless_exception_type(NameError)
+
+        for exc in (
+            asyncio.CancelledError(),
+            KeyboardInterrupt(),
+            SystemExit(),
+            GeneratorExit(),
+        ):
+            self.assertFalse(retry(self._exception_retry_state(exc)), repr(exc))
+
+    def test_retry_if_not_exception_type_still_retries_exceptions(self) -> None:
+        retry = tenacity.retry_if_not_exception_type(IOError)
+
+        self.assertTrue(retry(self._exception_retry_state(ValueError())))
+        self.assertFalse(retry(self._exception_retry_state(OSError())))
+
+    def test_retry_unless_exception_type_still_retries_exceptions(self) -> None:
+        retry = tenacity.retry_unless_exception_type(NameError)
+
+        self.assertTrue(retry(self._exception_retry_state(ValueError())))
+        self.assertFalse(retry(self._exception_retry_state(NameError())))
+
+    def test_retry_if_exception_type_remains_the_opt_in(self) -> None:
+        """Retrying a cancellation on purpose is still possible, just explicit."""
+        retry = tenacity.retry_if_exception_type(asyncio.CancelledError)
+
+        self.assertTrue(retry(self._exception_retry_state(asyncio.CancelledError())))
+
     def test_retry_any(self) -> None:
         retry = tenacity.retry_any(
             tenacity.retry_if_result(lambda x: x == 1),