The invention relates to a method of manufacturing a composite part (1), which comprises placing a composite material part (3) comprising fibers and a thermoplastic resin on a matrix; moving a pressertowards the matrix in order to thermo-stamp the part (3); and making at least one orifice (5) in the part (3) by moving at least one punch through the part and at least one compactor pushing back thematerial of the part moved by the punch and forming a shoulder (7) around the orifice (5) or one of the orifices (5). The method also comprises a step of placing a metal insert (9) on the shoulder (7) of the orifice (5) or at least one of the orifices (5) .