A process and installation for producing a composite material part in which plies of continuous and electrically conductive fibers are deposited to form a stack of plies on a substrate. At least the face of the substrate bearing the stack is electrically insulating and the following steps are carried out a) an electrical terminal is inserted between the ends of at least two plies placed directly one on top of the other in the stack, and on at least two opposite sides of these plies b) when the fibers are dry, introducing a resin in order to impregnate the fibers and c) making a current flow between the electrical terminals through the plies in order to set the resin by resistive heating.