diff --git a/moto/awslambda/models.py b/moto/awslambda/models.py
index 28cbe61af..829aa76d2 100644
--- a/moto/awslambda/models.py
+++ b/moto/awslambda/models.py
@@ -1049,9 +1049,9 @@ class LambdaBackend(BaseBackend):
         if fn:
             payload = fn.invoke(body, headers, response_headers)
             response_headers["Content-Length"] = str(len(payload))
-            return response_headers, payload
+            return payload
         else:
-            return response_headers, None
+            return None
 
 
 def do_validate_s3():
diff --git a/moto/awslambda/responses.py b/moto/awslambda/responses.py
index d81bd55d9..a4f559fc2 100644
--- a/moto/awslambda/responses.py
+++ b/moto/awslambda/responses.py
@@ -178,7 +178,7 @@ class LambdaResponse(BaseResponse):
         function_name = unquote(self.path.rsplit("/", 2)[-2])
         qualifier = self._get_param("qualifier")
 
-        response_header, payload = self.lambda_backend.invoke(
+        payload = self.lambda_backend.invoke(
             function_name, qualifier, self.body, self.headers, response_headers
         )
         if payload:
@@ -187,6 +187,8 @@ class LambdaResponse(BaseResponse):
             elif request.headers.get("X-Amz-Invocation-Type") == "DryRun":
                 status_code = 204
             else:
+                if request.headers.get("X-Amz-Log-Type") != "Tail":
+                    del response_headers["x-amz-log-result"]
                 status_code = 200
             return status_code, response_headers, payload
         else:
diff --git a/tests/test_awslambda/test_lambda.py b/tests/test_awslambda/test_lambda.py
index 62e2bcef6..be5835b5f 100644
--- a/tests/test_awslambda/test_lambda.py
+++ b/tests/test_awslambda/test_lambda.py
@@ -113,6 +113,7 @@ def test_invoke_requestresponse_function():
         FunctionName="testFunction",
         InvocationType="RequestResponse",
         Payload=json.dumps(in_data),
+        LogType="Tail"
     )
 
     success_result["StatusCode"].should.equal(200)
@@ -125,6 +126,16 @@ def test_invoke_requestresponse_function():
     payload = success_result["Payload"].read().decode("utf-8")
     json.loads(payload).should.equal(in_data)
 
+    # Logs should not be returned by default, only when the LogType-param is supplied
+    success_result = conn.invoke(
+        FunctionName="testFunction",
+        InvocationType="RequestResponse",
+        Payload=json.dumps(in_data),
+    )
+
+    success_result["StatusCode"].should.equal(200)
+    assert "LogResult" not in success_result
+
 
 @mock_lambda
 def test_invoke_requestresponse_function_with_arn():