Abstract: This invention relates to a process for manufacturing a turbine or compressor wheel made of composite material, comprising the following steps of:making at least two helicoidal textures each formed by weaving a spiral band with helicoidal warp yarns and weft yarns which are substantially perpendicular to the axis of the texture,assembling the helicoidal textures by "screwing" them in each other and stacking them by mutually approaching their interlaced turns, anddensifying the stack thus made to obtain a preform of a turbine or compressor wheel.