A safety belt winding device has a housing with a housing bracket in which the housing can be fitted in different angular positions centrically symmetrical to the housing axis. A transmission member, which passes out of the end face of the housing centrically symmetrically to the housing axis and with centrically symmetrical mobility is intended to receive a switching movement from an actuating member in order to actuate the locking device of the safety belt winding device. The actuating member is provided in an actuating bracket which is in turn connectable to the housing of the safety belt winding device by means of centrically symmetrical connecting means. By this means the directions of belt extension and the directions in which the actuating bracket is attached become independent mutually and of the direction of the surface to which the safety belt winding device is fastened.