diff --git a/lambda/README.md b/lambda/README.md
index f2991bdb..f5d4b59b 100644
--- a/lambda/README.md
+++ b/lambda/README.md
@@ -6,7 +6,7 @@
     sudo yum install git clang sqlite-devel zlib-devel
 
 2. Create a ZIP archive with the `tippecanoe` binary at `bin/tippecanoe` and upload as a Lambda layer
-3. Copy [lambda_function.py](lambda_function.py) (python 3.9 runtime)
+3. Copy [tippecanoe.py](tippecanoe.py) (python 3.9 runtime)
 4. set the environment variable `OUTPUT_BUCKET` to your output bucket; give lambda IAM role access to input/output buckets
 5. Enable ACLs on the output bucket