PURPOSE: To obtain an alloy product of titanium group metals free of defect and having a regulated carbon concn. by using a compact contg. tin added with dispersed low-melting-point carbide consisting essentially of cementite as a concumable electrode, and melting in a vacuum electric arc furnace.

CONSTITUTION: The starting material consisting of sponge titanium, alloying components, etc. is mixed by a mixer 1 and pressed into a compact 3 in a pressing stage 2. A rod-shaped compact obtained by linking many compacts together at a welding stage 3 is used as a consumable electrode 71 which is melted in the primary vacuum electric arc furnace 61 to obtain the melt 9 which is molded into an ingot with a mold 8. An electrode 72 of the secondary vacuum electric arc furnace 62 is obtained by linking plural said ingots together. The electrode is melted and molded into the product with a mold 82. In the above-mentioned melting method of the titanium group metal alloy, a compact, added with dispersed low-melting-point carbide consisting essentially of cementite, or consisting of Cr7C3 or Cr3C2, is used to constitute the consumable electrode 71. The carbon concn. in the alloy is regulated in this way, and the generation of the defects in the product due to the remaining unmelted substance of the added carbonaceous agent can be prevented.