A vacuum brake booster includes a housing and a bent connecting element for connecting the vacuum brake booster to a vacuum source, wherein the connecting element includes a first connecting piece which extends through an opening in the brake booster housing into a vacuum chamber of the vacuum brake booster, a second connecting piece for connecting the connecting element to the vacuum source, and a multi-part housing with a first housing part which carries the first connecting piece and a second housing part which carries the second connecting piece arranged at a first angle to the first connecting piece. To simplify automatic assembly, the position of the second housing part to the first housing part in relation to a second angle is rigidly fixed, and the shape of the opening in the brake booster housing and the cross-sectional shape of the first connecting piece are matched to each other in such a way that a rotation of the first connecting piece in the opening of the brake booster housing is at least substantially prevented.