diff --git a/packages/angular/src/generators/library/lib/normalize-options.ts b/packages/angular/src/generators/library/lib/normalize-options.ts
index cbb5db8792346..d498f87696781 100644
--- a/packages/angular/src/generators/library/lib/normalize-options.ts
+++ b/packages/angular/src/generators/library/lib/normalize-options.ts
@@ -34,7 +34,7 @@ export function normalizeOptions(
 
   const name = names(options.name).fileName;
   const projectDirectory = options.directory
-    ? `${names(options.directory).fileName}/${name}`
+    ? `${names(options.directory).fileName}/${name}`.replace(/\/+/g, '/')
     : name;
 
   const { libsDir, npmScope, standaloneAsDefault } = getWorkspaceLayout(host);
diff --git a/packages/angular/src/generators/library/library.spec.ts b/packages/angular/src/generators/library/library.spec.ts
index 2e08cd3088d20..e0ef3e38f6837 100644
--- a/packages/angular/src/generators/library/library.spec.ts
+++ b/packages/angular/src/generators/library/library.spec.ts
@@ -46,6 +46,13 @@ describe('lib', () => {
       tree = createTreeWithEmptyWorkspace(2);
     });
 
+    it('should run the library generator without erroring if the directory has a trailing slash', async () => {
+      // ACT & ASSERT
+      await expect(
+        runLibraryGeneratorWithOpts({ directory: 'mylib/shared/' })
+      ).resolves.not.toThrow();
+    });
+
     it('should default to standalone project for first project', async () => {
       await runLibraryGeneratorWithOpts();
       const workspaceJsonEntry = readJson(tree, 'workspace.json').projects[