A gear flow meter for measuring the flow of fluid has a gear chamber in which at least one measuring gear wheel is arranged, a bottom and a cover. A respective rotation shaft is provided centrally relative to each measuring gear wheel. Each measuring gear wheel is rotatably mounted and has a measuring unit to detect a gear rotation, and an evaluation means to determine a flow of the fluid through the gear chamber. A respective receiving area is provided between each measuring gear wheel and the bottom, and also between each measuring gear wheel and the cover, in which receiving area rolling elements are arranged. The rolling elements directly contact the respective measuring gear wheel, the respective rotation shaft and the bottom or cover. The rolling elements are movable as a whole relative to the rotation shaft, the measuring gear wheel and the bottom or cover which they contact.