When you're finished with your path, then you can end or stop making points in your pen tool's path by doing one of the following in Illustrator : 1) Click ESC on the keyboard 2) Switch away from the pen tool. Choosing any other tool will deselect and stop the pen tool from continuing to make points. 3) Choose Select > Deselect from the top menu 4) Push Ctrl (Windows) or Command (Mac) and click anywhere else on your artboard