A pressotherapy apparatus comprising a device (1) for forming a treatment enclosure to be placed around a section of the body, the device comprising inflatable and deflatable cells (2) having an upper membrane (20) and a lower membrane (21) which are connected together, the cells being supported by an external wall (3) opposite a body surface (4) of the device, characterized in that the cells (2) are disposed in a stack between two end cells (25), (26), the cells between the end cells being stacked by overlapping in a position inclined between a high-end (201) near to the external wall (3) and a low end (202) near to the body surface (4), the cells (2) of the stack having an active portion (200) of the upper membrane extending from the low end not covered by the lower membrane of an adjacent cell above.
