Abstract: A cross-head die for applying one or more layers of coating materials to a single, longitudinally fed, filamentary member, or to a plurality of such members in spaced, side-by-side relation. Tip and die members of relatively flat, wafer-like configuration are placed in a cylindrical cavity of the body member of the apparatus with central openings in each of the tip and die members coaxially arranged and a protrusion surrounding the opening in the tip extending into the opening in the die. Flowable coating material is injected through a radial opening in the body member and flows in both directions about an annular passageway formed by cooperatively arranged grooves in the peripheries of the tip and die members. The coating material flows from the annular passageway to the die aperture through opposing, spaced, angularly arranged surfaces on the tip and die members.