Abstract: A method for producing a cast of titanium or a titanium-based alloy by fusing titanium or a titanium-based alloy containing an alloy element in a vacuum furnace while introducing argon gas therein and casting the resultant melt in mold, which method is characterized by adjusting the introduction of the argon gas so that the argon gas pressure (atm) in the furnace assumes the following magnitude proportionately to the alloy element content M (% by weight):Not less than 2.1 when 0.ltoreq.M<5Not less than 1.6 when 5.ltoreq.M<10Not less than 1.5 when 10.ltoreq.M<15Not less than 1.2 when 15.ltoreq.M.