A closure for containers which is inexpensively and easily manufactured and is readily removeable in whole or in part to gain access to contents in the container. The closure comprises a generally flat cap member sealed at its periphery to the mouth of the container. An upstanding tubular member on the surface of the cap is partially surrounded by a score line in the cap and the score line preferably continues all around the cap near its periphery. The tubular member preferably has rigidifying means in its closed top and side walls which can be readily flexed inwardly so that the tubular member can be firmly grasped and pulled to readily initiate a rupture in the score line at a stress-concentrating focal point on that portion of the score line adjacent the tubular member. The cap can then be easily removed by continued pulling of the tubular member.