diff --git a/redis/__init__.py b/redis/__init__.py
index b8850add15..d7b74edf41 100644
--- a/redis/__init__.py
+++ b/redis/__init__.py
@@ -19,6 +19,7 @@
     ConnectionError,
     DataError,
     InvalidResponse,
+    OutOfMemoryError,
     PubSubError,
     ReadOnlyError,
     RedisError,
@@ -72,6 +73,7 @@ def int_or_str(value):
     "from_url",
     "default_backoff",
     "InvalidResponse",
+    "OutOfMemoryError",
     "PubSubError",
     "ReadOnlyError",
     "Redis",
diff --git a/redis/asyncio/__init__.py b/redis/asyncio/__init__.py
index bf90dde555..2a82df251e 100644
--- a/redis/asyncio/__init__.py
+++ b/redis/asyncio/__init__.py
@@ -24,6 +24,7 @@
     ConnectionError,
     DataError,
     InvalidResponse,
+    OutOfMemoryError,
     PubSubError,
     ReadOnlyError,
     RedisError,
@@ -47,6 +48,7 @@
     "default_backoff",
     "InvalidResponse",
     "PubSubError",
+    "OutOfMemoryError",
     "ReadOnlyError",
     "Redis",
     "RedisCluster",
diff --git a/redis/asyncio/connection.py b/redis/asyncio/connection.py
index 4ba177ef26..efe3a3e1b0 100644
--- a/redis/asyncio/connection.py
+++ b/redis/asyncio/connection.py
@@ -49,6 +49,7 @@
     ModuleError,
     NoPermissionError,
     NoScriptError,
+    OutOfMemoryError,
     ReadOnlyError,
     RedisError,
     ResponseError,
@@ -174,6 +175,7 @@ class BaseParser:
         "READONLY": ReadOnlyError,
         "NOAUTH": AuthenticationError,
         "NOPERM": NoPermissionError,
+        "OOM": OutOfMemoryError,
     }
 
     def __init__(self, socket_read_size: int):
diff --git a/redis/connection.py b/redis/connection.py
index 5af8928a5d..bf0d6dea80 100644
--- a/redis/connection.py
+++ b/redis/connection.py
@@ -28,6 +28,7 @@
     ModuleError,
     NoPermissionError,
     NoScriptError,
+    OutOfMemoryError,
     ReadOnlyError,
     RedisError,
     ResponseError,
@@ -149,6 +150,7 @@ class BaseParser:
             MODULE_UNLOAD_NOT_POSSIBLE_ERROR: ModuleError,
             **NO_AUTH_SET_ERROR,
         },
+        "OOM": OutOfMemoryError,
         "WRONGPASS": AuthenticationError,
         "EXECABORT": ExecAbortError,
         "LOADING": BusyLoadingError,
diff --git a/redis/exceptions.py b/redis/exceptions.py
index 8a8bf423eb..8bab093eb6 100644
--- a/redis/exceptions.py
+++ b/redis/exceptions.py
@@ -49,6 +49,18 @@ class NoScriptError(ResponseError):
     pass
 
 
+class OutOfMemoryError(ResponseError):
+    """
+    Indicates the database is full. Can only occur when either:
+      * Redis maxmemory-policy=noeviction
+      * Redis maxmemory-policy=volatile* and there are no evictable keys
+
+    For more information see `Memory optimization in Redis <https://redis.io/docs/management/optimization/memory-optimization/#memory-allocation>`_. # noqa
+    """
+
+    pass
+
+
 class ExecAbortError(ResponseError):
     pass
 
diff --git a/tests/test_asyncio/test_connection_pool.py b/tests/test_asyncio/test_connection_pool.py
index 92499e2c4a..24d9902142 100644
--- a/tests/test_asyncio/test_connection_pool.py
+++ b/tests/test_asyncio/test_connection_pool.py
@@ -606,10 +606,18 @@ async def test_busy_loading_from_pipeline(self, r):
     @skip_if_server_version_lt("2.8.8")
     @skip_if_redis_enterprise()
     async def test_read_only_error(self, r):
-        """READONLY errors get turned in ReadOnlyError exceptions"""
+        """READONLY errors get turned into ReadOnlyError exceptions"""
         with pytest.raises(redis.ReadOnlyError):
             await r.execute_command("DEBUG", "ERROR", "READONLY blah blah")
 
+    @skip_if_redis_enterprise()
+    async def test_oom_error(self, r):
+        """OOM errors get turned into OutOfMemoryError exceptions"""
+        with pytest.raises(redis.OutOfMemoryError):
+            # note: don't use the DEBUG OOM command since it's not the same
+            # as the db being full
+            await r.execute_command("DEBUG", "ERROR", "OOM blah blah")
+
     def test_connect_from_url_tcp(self):
         connection = redis.Redis.from_url("redis://localhost")
         pool = connection.connection_pool
diff --git a/tests/test_connection_pool.py b/tests/test_connection_pool.py
index e8a42692a1..155bffe56a 100644
--- a/tests/test_connection_pool.py
+++ b/tests/test_connection_pool.py
@@ -528,10 +528,17 @@ def test_busy_loading_from_pipeline(self, r):
     @skip_if_server_version_lt("2.8.8")
     @skip_if_redis_enterprise()
     def test_read_only_error(self, r):
-        "READONLY errors get turned in ReadOnlyError exceptions"
+        "READONLY errors get turned into ReadOnlyError exceptions"
         with pytest.raises(redis.ReadOnlyError):
             r.execute_command("DEBUG", "ERROR", "READONLY blah blah")
 
+    def test_oom_error(self, r):
+        "OOM errors get turned into OutOfMemoryError exceptions"
+        with pytest.raises(redis.OutOfMemoryError):
+            # note: don't use the DEBUG OOM command since it's not the same
+            # as the db being full
+            r.execute_command("DEBUG", "ERROR", "OOM blah blah")
+
     def test_connect_from_url_tcp(self):
         connection = redis.Redis.from_url("redis://localhost")
         pool = connection.connection_pool