diff --git a/src/github_app.py b/src/github_app.py
index c18b6a9..97e9785 100644
--- a/src/github_app.py
+++ b/src/github_app.py
@@ -4,12 +4,21 @@
 from __future__ import annotations
 
 import contextlib
+import logging
 import time
 from typing import Generator
 
 import jwt
 import requests
 
+GITHUB_API_TIMEOUT = 10
+GITHUB_API_MAX_ATTEMPTS = 3
+GITHUB_API_RETRYABLE_ERRORS = (
+    requests.exceptions.ConnectionError,
+    requests.exceptions.SSLError,
+    requests.exceptions.Timeout,
+)
+
 
 class GithubAppToken:
     def __init__(self, private_key, app_id) -> None:
@@ -19,8 +28,9 @@ def __init__(self, private_key, app_id) -> None:
     # configured by the GitHub App and expire after one hour.
     @contextlib.contextmanager
     def get_token(self, installation_id: int) -> Generator[str, None, None]:
-        req = requests.post(
-            url=f"https://api.github.com/app/installations/{installation_id}/access_tokens",
+        req = _request_github_api(
+            "POST",
+            f"https://api.github.com/app/installations/{installation_id}/access_tokens",
             headers=self.headers,
         )
         req.raise_for_status()
@@ -29,7 +39,8 @@ def get_token(self, installation_id: int) -> Generator[str, None, None]:
             # This token expires in an hour
             yield resp["token"]
         finally:
-            requests.delete(
+            _request_github_api(
+                "DELETE",
                 "https://api.github.com/installation/token",
                 headers={"Authorization": f"token {resp['token']}"},
             )
@@ -51,3 +62,25 @@ def get_authentication_header(self, private_key, app_id):
             "Accept": "application/vnd.github.v3+json",
             "Authorization": f"Bearer {jwt_token}",
         }
+
+
+def _request_github_api(method: str, url: str, **kwargs) -> requests.Response:
+    for attempt in range(1, GITHUB_API_MAX_ATTEMPTS + 1):
+        try:
+            return requests.request(
+                method,
+                url,
+                timeout=GITHUB_API_TIMEOUT,
+                **kwargs,
+            )
+        except GITHUB_API_RETRYABLE_ERRORS:
+            if attempt == GITHUB_API_MAX_ATTEMPTS:
+                raise
+
+            logging.warning(
+                "Transient GitHub App API request failed; retrying",
+                exc_info=True,
+            )
+            time.sleep(2 ** (attempt - 1))
+
+    raise RuntimeError("Unreachable GitHub App API retry state")
diff --git a/tests/test_github_app.py b/tests/test_github_app.py
new file mode 100644
index 0000000..612f68d
--- /dev/null
+++ b/tests/test_github_app.py
@@ -0,0 +1,71 @@
+from __future__ import annotations
+
+from unittest.mock import Mock
+
+import pytest
+import requests
+
+from src.github_app import GITHUB_API_TIMEOUT, GithubAppToken
+
+
+class DummyResponse:
+    def __init__(self, payload=None, error=None) -> None:
+        self.payload = payload or {}
+        self.error = error
+
+    def raise_for_status(self):
+        if self.error:
+            raise self.error
+
+    def json(self):
+        return self.payload
+
+
+@pytest.fixture
+def github_app_token():
+    token = GithubAppToken.__new__(GithubAppToken)
+    token.headers = {"Authorization": "Bearer jwt"}
+    return token
+
+
+def test_get_token_retries_transient_token_creation_errors(
+    github_app_token,
+    monkeypatch,
+):
+    calls = []
+    sleep = Mock()
+    monkeypatch.setattr("src.github_app.time.sleep", sleep)
+
+    def request(method, url, **kwargs):
+        calls.append((method, url, kwargs))
+        post_attempts = len([call for call in calls if call[0] == "POST"])
+        if method == "POST" and post_attempts == 1:
+            raise requests.exceptions.ConnectTimeout("connect timeout")
+        return DummyResponse({"token": "github-token"})
+
+    monkeypatch.setattr("src.github_app.requests.request", request)
+
+    with github_app_token.get_token(42) as token:
+        assert token == "github-token"
+
+    post_calls = [call for call in calls if call[0] == "POST"]
+    assert len(post_calls) == 2
+    assert calls[-1][0] == "DELETE"
+    assert all(call[2]["timeout"] == GITHUB_API_TIMEOUT for call in calls)
+    sleep.assert_called_once_with(1)
+
+
+def test_get_token_does_not_retry_http_status_errors(github_app_token, monkeypatch):
+    calls = []
+
+    def request(method, url, **kwargs):
+        calls.append((method, url, kwargs))
+        return DummyResponse(error=requests.HTTPError("server error"))
+
+    monkeypatch.setattr("src.github_app.requests.request", request)
+
+    with pytest.raises(requests.HTTPError):
+        with github_app_token.get_token(42):
+            pass
+
+    assert len(calls) == 1