the invention relates to a method for making a connecting rod made of a composite material and including a yoke for receiving a mechanical axis , said yoke including two parallel arms perpendicular to the mechanical axis , wherein the method comprises the steps of : making a mandrel defining a single piece sufficiently rigid for receiving fiber layers ; applying onto said mandrel base fiber layers and additional layers interleaved between the base layers at the yoke in order to form an additional thickness thereon ; inserting lugs extending through the intermediate layers and the base layers ; injecting resin into the base layers and the intermediate layers and polymerizing said resin .