diff --git a/moto/batch/models.py b/moto/batch/models.py
index 8e98db457..09ba0f9f1 100644
--- a/moto/batch/models.py
+++ b/moto/batch/models.py
@@ -618,6 +618,7 @@ class Job(threading.Thread, BaseModel, DockerModel):
                     )
                     date = unix_time_millis(date_obj)
                     logs.append({"timestamp": date, "message": line.strip()})
+                logs = sorted(logs, key=lambda l: l["timestamp"])
 
                 # Send to cloudwatch
                 log_group = "/aws/batch/job"