The invention relates to a brake assembly for a utility vehicle. After a braking operation a clearance between a control member (11) and the intermediate part (13) and/or between a brake element (12) and the intermediate part (13) is adjusted by means of a displacement unit (2) arranged in the intermediate part (13). Any change in wear and therefore any resulting change in clearance can be compensated for by means of a respective tensioning device (15, 15'), respectively located in the control member (11) and in the brake element (12), each of which are connected to the displacement unit (2).