A method for clinching pieces of metal plate, comprising the steps of: positioning two pieces of sheet metal (6a, 6b) in a clinching station (3), the two pieces of sheet metal (6a, 6b) being provided with at least one area of their edge whereon is applied a hot-curing resin, performing a clinching operation along the edge (16, 17) of said pieces (6a, 6b); and polymerising the resin by means of induction heating, in the same clinching station (3) by means of a heating device (19) which performs a localised heating of the clinched edges (16, 17).