The present invention relates to a fastener for a zipper which includes a top plate; a bottom plate located corresponding to the top plate; and a head which is located in a fixed region of a top surface of the top plate and is separable from the top plate. Since the head is separable from the top plate, the traction tab can be replaced, and thus, it is possible to apply various forms of traction tabs to fastener for zipper in accordance with user's feelings and user's needs.