Rotary press comprising a rotor rotatably driven about a vertical axis, said rotor exhibiting a die plate and upper and lower punches which are vertically guided in guides of the rotor working together with die holes in a die plate, at least one press station which exhibits an upper and a lower pressure passed by the punches and through which the punches are moved towards the die hole in order to compress the material in the die hole, characterized in that the rotor is provided with means which act upon compacts or parts thereof which adhere to the pressing surface or which means eliminate or prevent an adherence of a compact or parts thereof to the pressing surface of the upper punch, respectively, during the return stroke.