Body compression device intended to be at least partially wound around a part of the body in order to exert a compression force on said part of the body, the device including a hook-and-loop fastening system with a plurality of loops arranged on a loop zone and a plurality of hooks arranged on a hooking surface, the hooking surface being elastic and capable of adopting at least two states: a first, unstretched state, in which the hooks are in immediate proximity to one another, and a second state, in which the hooking surface is substantially stretched, allowing it to be hooked onto the loops of the loop zone.
