PURPOSE: To produce a copper alloy conductor excellent in electric conductivity, tensile strength, bending strength, etc., by preparing a copper alloy conductor containing specific amounts of B.

CONSTITUTION: A raw material, consisting of, by weight, 0.01-<2.6% B and the balance Cu and further containing, if necessary, 0.01-1.0%, in total, of at least one element selected from the group consisting of Ti, Y, Zr, Al, Si, Ni, Sn, Cr, Fe, Mg, Zn, and Sb, is rapidly solidified from molten state at ≥150°C/sec cooling rate thereby, the copper alloy conductor is prepared. By this method, the copper alloy conductor, excellent in mechanical properties, such as tensile strength and bending strength, as well as in electric properties such as electric conductivity and used for electric and electronic equipment and traffic use, can be obtained.