A method of producing a cup-shaped sterilizable container from a stretch-drawable composite laminate of a total wall thickness between 30 and 200 .mu.m with an aluminum foil of a thickness less than 40 .mu.m, a sealable plastic inner layer of high extensibility and a plastic outer layer of high extensibility and load-bearing capacity, the side wall of the container running at a side wall angle (a) with respect to the direction perpendicular to the container bottom, is distinguished in that the composite laminate is deep drawn free from folds at a side wall angle of 30.degree. using smooth-walled forming tools then combined deep/stretch drawn and subsequently stretch drawn.