The invention relates to milling cutters. The end mill cutter (10) according to the invention is provided with a new arrangement of coolant conduits to improve cutter performance and to produce workpieces having a finer surface finish.The end mill cutter (10) is provided with a shank end (14), and a cutting end composed of a plurality of teeth (36) each having a cutting edge (22) and a back face, the cutter being provided with internal coolant conduits. The conduits comprise a center conduit (12) extending along the central axis from the shank end (14) to near the cutting end, and a plurality of secondary conduits (16) substantially parallel to and spaced apart from the central axis and to/from each other, the secondary conduits (16) extending from the back face of the teeth (36) at the cutting end into the center conduit (12) to provide fluid communication therewith.