A turbomachine rotor wheel having composite material blades is disclosed. The wheel includes a slideway disk having a circumferential groove at its outer periphery, the groove having an opening that is narrower than its bottom, with a plurality of composite material blades each having a blade root engaged in the groove of the slideway disk and presenting a longitudinal section adapted to the longitudinal section of the slideway disk in order to be held radially therein by co-operating shapes, and an orientation disk fastened coaxially around the slideway disk and including, in its outer periphery, a plurality of axial slots each of which is open at one end. Each slot presents a cross-section that is adapted to the cross-section of a corresponding blade root so as to hold it angularly by co-operating shapes.