A device for adjusting the relative rotation angle position of a rotating shaft (1), in particular of a camshaft, relative to a drive element (2), including a substantially hollow-cylindrical displacement member (3), which is arranged coaxially to the shaft (1) and to the drive element (2) and is coupled to the shaft (1) and to the drive element (2) such that an axial displacement of the displacement member (3) effects an adjustment of the relative rotation position of the shaft (1) relative to the drive element (2), and an actuating unit (4) for axially displacing the displacement member (3), the actuating unit comprising two brake actuators (5, 6) and two counter-rotating threaded drives (7, 8) for coupling the brake actuators (5, 6) to the displacement member (3) such that, upon selective actuation of a brake actuator (5, 6), an axial displacement of the displacement member (3) takes place in one direction or the other. According to the invention, at least one threaded drive (7) of the actuating unit (4) is at least partially accommodated in the shaft (1) that is to be adjusted, wherein the accommodated part of the threaded drive (7) comprises a spindle section (9) that is arranged coaxially to the shaft (1) and a nut (10) which can be axially moved with respect to the spindle section (9) and which is connected such to a section of the displacement member (3) that is likewise accommodated in the shaft (1) that an axial movement of the nut (10) effects an axial displacement of the displacement member (3) in a first direction.