The invention relates to a transverse flux electrical machine, comprising a rotor and a stator. The rotor has magnets, angularly adjacent magnets having magnetic polarizations of opposite directions. The stator has a plurality of magnetic cores annularly disposed along the stator. Each core comprises a U-shaped part and a magnetic foot. The U-shaped part is disposed such that its open side faces the air gap between the rotor and the stator and that a segment of a magnetic flux circulating in the U-shaped part is substantially parallel to the rotation axis. The magnetic foot is assembled to the U-shaped part such that it is contiguous to the air gap. The magnetic foot provides a magnetic pole. An electrical conductor coil is disposed in the interior area of all of the U-shaped parts.