A squeegee device for a printing press, which prints a printing material, at at least one printing point, in accordance with a screen printing process, comprises a screen printing screen, a squeegee which is one of set against the screen printing screen in a thrown-on position and can be set against the screen printing screen In a thrown-on position, a bearing device which makes a throwing-on and throwing-off movement possible between the thrown-on position of the squeegee and a thrown-off position, and a drive device, by the use of which, the squeegee can be set against the screen printing screen and can be set away from the latter during operation in a manner which is correlated to a press or printing material phase position. The drive device is set up to one of bring about and to make possible throwing-on and throwing-off of the squeegee in sequences which differ from one another in one of different positions and the phase lengths in relation to the length of the screen printing screen.