PROBLEM TO BE SOLVED: To suitably use a titanium alloy as a member for heat exchangers used in the fields of medical and food industries, heat exchangers using seawater as a medium, and the like by providing a specific composition consisting of Cu, Pd, and the balance Ti with inevitable impurities. SOLUTION: The alloy contains, by weight, 0.01-1.5% Cu and 0.05-0.14% Pd. Cu is effective for improving the resistance to sticking of marine life. Pd is effective for improving crevice corrosion resistance. Further, in the case that Pd is incorporated in combination with Co and Ni both having an effect on crevice corrosion resistance, Pd can produce its effect even if its content is reduced to 0.01% as the lower limit, that is, the required amount of expensive Pd can be reduced by allowing 0.1-2%, in total, of Co and Ni to coexist to reduce Pd content [where Pd >=0.05-0.08×(Co+Ni) is satisfied in the case of Co+Ni<0.5; and Pd >=0.01 is satisfied in the case of 0.5<=Co+Ni<=2].