Abstract: Wig or hairpiece having a flexible antislip system (2) which allows a user to non-adhesively and removably attach the wig or hairpiece to the user's head. The wig or hairpiece includes a drawable fabric (3) impregnated with a thin drawable film (4). The thin drawable film is arranged on a surface of the drawable fabric which contacts the skin of the user's head when the wig or hairpiece is positioned on the user's head. The thin drawable film prevents the wig or hairpiece from slipping on the user's head when positioned on the user's head. The thin drawable film has at least one of a non-sticky and a non-gummy antislip surface at temperatures lower than a softening temperature of the thin drawable film.