Abstract: A two-piece closure for containers having a metal outer cap and an inner cap fixedly positioned within the outer cap is disclosed. The outer metal cap has a top wall integrally formed with an annular downwardly depending sidewall, the sidewall having a smooth, rounded edge formed by a U-shaped fold of a thin portion of the sidewall which portion is of such a thickness that said fold has a thickness approximately equal to the thickness of that portion of the sidewall adjacent to the thin portion. The inner cap can be any conventional cap which can be fixed inside the metal overcap and which has attaching structure for attaching the closure to the container.