A claw pole generator has a drive shaft, two pole wheel halves arranged on the drive shaft and each having a disk-shaped plate and claw shaped magnet poles spaced from one another in a peripheral direction and having magnet pole tips, the magnet poles of one pole wheel half being inserted in intermediate spaces of the magnet poles of the other of the pole wheel halves, permanent magnet parts provided for a dissipation flux compensation and arranged in intermediate spaces of the plate, the magnet poles extending in a predetermined direction, and a mounting device connecting the magnet pole tips with a neighboring one of the plates, the magnet poles extending toward an outer edge of a neighboring one of the plates, the mounting device having vanes operating as an ventilation element.