A medical instrument for applying compressing force to body trunk or extremities in accordance with the present invention comprises a bandage-like compression fabric and fastening means for releasably fastening opposed first and second surfaces of the compression fabric to each other at a plurality of points in a longitudinal direction of the compression fabric.The fastening means includes male (hook) and female (loop) fasteners provided in said first and second surfaces, respectively. One of the male (hook) and female (loop) fasteners is provided so as to extend across a length of the compression fabric which is to be wrapped around the body trunk or limb, the other of the male (hook) and female (loop) fasteners consisting of those spaced from each other in a longitudinal direction of the compression fabric.The compression fabric is adapted so that, when the medical instrument is wrapped around the body trunk or limb from a first position to a second position thereof, one of the first and second surfaces of the compression fabric can be wrapped over the other thereof in a partially offset state from the other in a direction of the second position.