A melt spinning apparatus adapted for spinning a plurality of preferably monofilaments each having a denier which is maintained within close tolerances. The apparatus comprises a nozzle head having a plurality of vertical bores which are annularly arranged about a central axis and a nozzle assembly in each of the bores. A separate melt delivery system delivers pressurized melt to each nozzle assembly, and in a preferred embodiment, each separate melt delivery system comprises one of the discharge outlets of a planetary gear pump.