diff --git a/.changelog/5742.fixed b/.changelog/5742.fixed
new file mode 100644
index 0000000000..a11d1072ab
--- /dev/null
+++ b/.changelog/5742.fixed
@@ -0,0 +1 @@
+`opentelemetry-sdk`: add return type annotations to `SynchronousMultiLogRecordProcessor` and `ConcurrentMultiLogRecordProcessor`
diff --git a/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/__init__.py b/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/__init__.py
index bc09fd1db0..5b543d01e4 100644
--- a/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/__init__.py
+++ b/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/__init__.py
@@ -412,7 +412,7 @@ class SynchronousMultiLogRecordProcessor(LogRecordProcessor):
     added.
     """
 
-    def __init__(self):
+    def __init__(self) -> None:
         # use a tuple to avoid race conditions when adding a new log and
         # iterating through it on "emit".
         self._log_record_processors = ()  # type: tuple[LogRecordProcessor, ...]
@@ -489,14 +489,14 @@ class ConcurrentMultiLogRecordProcessor(LogRecordProcessor):
             and thus defining how many log processors can work in parallel.
     """
 
-    def __init__(self, max_workers: int = 2):
+    def __init__(self, max_workers: int = 2) -> None:
         # use a tuple to avoid race conditions when adding a new log and
         # iterating through it on "emit".
         self._log_record_processors = ()  # type: tuple[LogRecordProcessor, ...]
         self._lock = threading.Lock()
         self._executor = concurrent.futures.ThreadPoolExecutor(max_workers=max_workers)
 
-    def add_log_record_processor(self, log_record_processor: LogRecordProcessor):
+    def add_log_record_processor(self, log_record_processor: LogRecordProcessor) -> None:
         with self._lock:
             self._log_record_processors += (log_record_processor,)