A copper alloy consisting of two or more of Cr, Ti and Zr, and the balance Cu and impurities, in which the relationship between the total number N and the diameter X satisfies the following formula (1). Ag, P, Mg or the like may be included instead of a part of Cu. This copper alloy is obtained by cooling a bloom, a slab, a billet, or a ingot in at least in a temperature range from the bloom, the slab, the billet, or the ingot temperature just after casting to 450° C., at a cooling rate of 0.5° C./s or more. After the cooling, working in a temperature range of 600° C. or lower and further heat treatment of holding for 30 seconds or more in a temperature range of 150 to 750° C. are desirably performed. The working and the heat treatment are most desirably performed for a plurality of times. log N≤0.4742+17.629×exp(−0.1133×X)  (1)