To provide a method for producing a composite product of a Ti-Al alloy and metal fibers by which ductility is imparted to Ti-Al alloy parts, and therefore, its application to super-heat resistant parts such as turbine blades and turbine disks is made possible.

This method is composed of a fiber charging process 10, a powder charging process 12, a cold forging process 14 and a reaction sintering stage 16. In the fiber charging process 20, high m.p. metal fibers 1 having the m.p. higher than that of titanium and forming solid solution with titanium is charged so as to be orientated in a prescribed direction, in the powder charging process 12, a powdery mixture 2 of titanium powder and aluminum powder is charged to the space between the metal fibers, in the cold forging stage 14, the charged body 4 is subjected to compression molding at an ordinary temp. to form a mixed body 5 with a prescribed shape composed of the fibers and powder, and in the reaction sintering process 16, the mixed body is heated and is subjected to reaction sintering. Furthermore, by a compsn. regulating process 18, the composite product is obtd. The high m.p. metal fibers 1 are composed of any pure metal among Nb, Mo, W, Ta and Zr or an alloy essentially consisting of the same.