Electromechanical brake force generator for a vehicle brake system and vehicle brake system provided with the same

The electromagnetic brake pressure creator (10) has a power input member (12) coupled to a brake pedal, a housing (14) and a pressure piston (20) in the housing, forming a pressure chamber (22). The components (28) of the nut-and-spindle arrangement (26) acting with the pressure piston, and the piston itself, are only able to be coupled after overcoming the coupling play against the force of a spring.