diff --git a/packages/babel-core/src/transformation/normalize-opts.js b/packages/babel-core/src/transformation/normalize-opts.js
index 6cd0f32447f1..16690f01d544 100644
--- a/packages/babel-core/src/transformation/normalize-opts.js
+++ b/packages/babel-core/src/transformation/normalize-opts.js
@@ -14,7 +14,7 @@ export default function normalizeOptions(config: ResolvedConfig): {} {
     moduleRoot,
     sourceRoot = moduleRoot,
 
-    sourceFileName = filenameRelative,
+    sourceFileName = path.basename(filenameRelative),
 
     comments = true,
     compact = "auto",
diff --git a/packages/babel-core/test/api.js b/packages/babel-core/test/api.js
index 101a184089c9..4bb3d0f4058e 100644
--- a/packages/babel-core/test/api.js
+++ b/packages/babel-core/test/api.js
@@ -393,6 +393,15 @@ describe("api", function() {
     });
   });
 
+  it("default source map filename", function() {
+    return transformAsync("var a = 10;", {
+      filename: "/some/absolute/file/path.js",
+      sourceMaps: true,
+    }).then(function(result) {
+      expect(result.map.sources).toEqual(["path.js"]);
+    });
+  });
+
   it("code option false", function() {
     return transformAsync("foo('bar');", { code: false }).then(function(
       result,