The invention provides a fold-shaped pressure expander which comprises an upper cover plate, a lower cover plate and a folded structure. The fold-shaped structure is in an annular fold belt shape, the upper cover plate and the lower cover plate are of annular-plate-shaped structures, the folded structure is clamped between the upper cover plate and the lower cover plate, air flow channels are formed between the upper cover plate, the lower cover plate and the folded structure, the circulation cross sections of the air flow channels are gradually expanded in the increasing direction of radius, and the pressure of air flow is increased after air flow passes through the air flow channels. The fold-shaped pressure expander is large in air flow channel flow area and small in flowing blockage, efficiency of a compressor is improved, and the thrust-weight ratio is raised; the pressure expander is simple and compact in structure, low in weight, convenient to machine and mount and low in cost, and transformation and upgrading of the compressor are facilitated; the ends of wave crests and wave troughs for forming air flow channel air inlets are of specially-shaped structures, and the pressure expansion effect of the fold-shaped pressure expander is enhanced; rectifier channels are turned back to make air flow direction be converted to the direction of an air inlet of a next grade of an air pressing structure.