This copper-alloy wire rod and a manufacturing method therefor make it possible to inexpensively provide a copper-alloy wire rod that exhibits excellent elongation and flex-fatigue-resistance properties and can be used, for example, as a magnet wire. Said copper-alloy wire rod contains, by mass, 0.5% to 4% silver and 0.05% to 0.3% of each of at least one element selected from the group consisting of tin, manganese, zinc, indium, nickel, cobalt, zirconium, and chromium, with the remainder comprising copper and unavoidable impurities. This copper-alloy wire rod has a diameter or thickness of at most 0.1 mm and exhibits a nano-indentation hardness of at least 1.45 GPa in a region extending from the outer surface of the wire rod to a depth of at least 5% of the diameter or thickness of the wire rod, a nano-indentation hardness of less than 1.45 GPa in a central section, a tensile strength of at least 350 MPa, and an elongation of at least 7%.