A method for producing a composite material. The method includes the steps of producing an initial dry preform, formed from unidirectional continuous dry fibers, applying non-woven filaments to a first main face of the dry preform, and needling the filaments with a needling device. The needling device includes a plurality of needles, each provided with at least one notch, so that filaments are driven by the needles and arranged in a direction substantially perpendicular to the continuous fibers of the dry perform. The method includes the further step of impregnating the dry preform with an impregnation polymer, the impregnation polymer constituting the matrix of the composite material part.