Abstract: An angular contact ball bearing consisting of an inner race and an outer race, each of which contains at least one ball track in which a ring of balls rolls, at least one ball track of one race being bounded by a high rim on one side and by a low rim on the opposite side, characterized in that the low rim (8,10,24,25,28,29,43,53) on one of the races (1,2,14,17,18,35,46) has an out-of-round contour having a number of higher portions (11,30) and lower portions (12,31), the lower portions (12,31) leading preferably steplessly into the lowest point of the ball track (3,4,15,16,19,20,39,49), the out-of-round contour being such that the enveloping contour of the higher portions (11,30) of the rim (8,10,24,25,28,29,43,53) corresponds to the enveloping contour of the balls (5,21,22,33,44) disposed in the other race (1,2,14,17,18,36,47) when one of the races (1,2,14,17,18,36,47) is subjected to elastic out-of-round deformation by the action of pressure.