A flat screen material for use in screen printing has strands forming a woven screen structure. The strands are arranged at angles to one another and crossing at crossing points, where the strands form undercuts there, and otherwise forming a screen structure with openings and metal deposits, at least at the surfaces thereof, deposited onto the strands in an electroplating process. The undercuts, in the area of crossing points of the strands, at least to some extent have a filling, made of the metal, that has been applied in the electroplating process. The filling, in particular, forms an inner-edge transition with rounding. The fillings improve the properties of the screen material, particularly with regard to stability, through-flow and possible cleaning. A screen for rotary screen printing is made of such a flat screen material.