The invention relates to a device for connecting prosthesis components (10) to a prosthesis socket (1) to which a connecting element (6) is associated, which connecting element is clamped against a proximally disposed and rotatably mounted counterpart-plate (15) and to which the prosthesis components (10) can be connected at least indirectly. In such devices the problem arises that, for example in the proximal joint of a leg stump, because of a muscular imbalance due to adduction or abduction of the stump on one side, considerable deviations from the natural position of the limb occur, such that also the position of the tip of a stump, both in the sagittal plane and in the frontal plane can deviate from the perpendicular (9) which is relevant for the structural analysis of a prosthesis. In order to nevertheless be able to construct a prosthesis along said perpendicular, according to the invention the connecting element (6) has a coupling element (11) mounted on a support (12, 17, 18) which extends substantially parallel to the central axis (8) of the prosthesis socket (1) in a plane (42) and is rotatable about said central axis (8). The distance between the coupling element (11) and the central axis (8) is adjustable, wherein the coupling element (11) is rotatable and lockable with respect to the support (12, 17, 18) on a second axis (41) extending substantially normal to the central axis (8) of the prosthesis socket (1). The prosthesis component (10) is mounted on the coupling element (10) and is rotatable and lockable about a third axis (9′) normal to the second axis (42).