A description is given of a method for the production of gourmette jewellery articles comprising the steps consisting of: forming by cutting a series of links (10) starting from a metal plate; creating a reinforcing edge around said links; pressing in a mould said reinforced links to confer thereto an undulated shape; making a cut (41) which develops from the outer perimeter to the inner perimeter on some of said reinforced links (30), obtaining in this way a series of reinforced links provided with cut (40); attaching in sequence two reinforced links provided with cut (40) to an intact reinforced link (30), or two intact links to a link provided with cut, obtaining a chain wherein a reinforced link (30) alternates with a reinforced link provided with cut (40); and closing the cuts (41) previously formed in the reinforced links provided with cut (40).