An improved snap-on/twist off closure which is very durable. The invention is also directed to a package comprising the closure, e.g., a bottle in combination with the closure. The closure includes an upper wall defining an opening and a cylindrical snap on pipe depending from the upper wall. The pipe includes threads designed to mate with external threads on a neck of the bottle. The threads on the pipe and threads on the neck of the bottle pass over each other when the closure is snapped onto the bottle during manufacture. The pipe includes a resistance recess and a guidance recess. The resistance recess and the guidance recess accommodate a forcing element on a shoulder of the bottle and permit unscrewing of the closure.