The invention relates to a pulley-groove finish-milling compound milling cutter belonging to the technical field of machine manufacturing. The compound milling cutter comprises a handle, a chip groove and a cutting part, wherein the cutting part is arranged on the top end of the handle, the chip groove is penetrated through the cutting part, the cutting part is provided with a plurality of cutting edges, the cross sectional areas of the cutting edges are orderly decreased from the top end of the handle at a rate of 25%, the rear cutter face of each cutting edge is provided with an edge strip of which the width is 0.15-0.3mm, the helical angle of the chip groove is 0 degree, and the front angle of the cutting part is 0 degree. The invention develops a fir tree-type pulley-groove finish-milling compound milling cutter for a 1000MW large steam turbine, and combines the original-process V-shaped rough milling cutter, the deepening milling cutter and semi-finish milling cutter into one to simultaneously complete rough machining and semi-finishing, thereby raising the production efficiency and lowering the cost.