A powder module for an apparatus for additive manufacturing of three-dimensional objects, comprising a powder chamber limiting a powder room that can be filled with powdered construction material and a carrying device arranged in the powder room and limiting the powder room at the bottom, wherein between at least one powder chamber wall limiting the powder room and the carrying device a gap extending at least partially along the powder chamber wall limiting the powder room is formed, through which powdered construction material from the powder room can enter a powder module section lying below the carrying device, wherein the gap opens out into a receiving section of a receiving element arranged or formed on the powder chamber, wherein the receiving section is formed as or comprises an especially ring-shaped circumferential flow channel structure provided for receiving construction material from the gap.