A process for making a dismountable and/or fixed traction-compression coupling to be applied to composite materials, in which a basic laminate (1) of composite material is folded at least once to obtain at least one skirt (2) forming an angle close to 90° with the rest of the laminate; by using a transition radius between the skirt and the rest of the laminate, a set of distribution plates (5, 6) is applied over the basic laminate to stabilize the skirt and produce a uniform load distribution, making holes in each set of distribution skirt-plates and introducing traction bolts (4) with an initial pretension in said holes, hence obtaining the connection between the components to be joined. The invention is applicable to the aerodynamic structures of aircraft.