A knitting machine, particularly with high gauge, with improved needle actuation cams, comprising a needle holder which supports a plurality of side-by-side needles, each one of the needles is provided with at least one heel that protrudes from one face of the needle holder, each one of the needles has at least one elastic flexing along its extension which determines an offset of its at least one heel with respect to the head of the needle along a direction that is substantially parallel to the actuation trajectory of the needle holder and the at least one path is offset in a substantially corresponding manner, with respect to a theoretical path of actuation of an ideal rectilinear needle with its head in alignment with its at least one heel.