An elastic brace comprising: a main body (2), made of elastic material that can be wound at least partially around a respective wrist articulation; at least one rigid insert (12) associated to the main body (2) to stiffen at least partially the main body (2) itself and to limit the movement of the wrist articulation; closing means (6) coupled to said main body (2) to engage in a stable manner said main body (2) to the wrist articulation; said rigid insert (12) being removably associable with the main body (2) in two operating configurations each of which corresponding to a respective use of the brace for the right wrist or the left wrist.