The present invention relates to a copper alloy having particular benefits for electronic parts and a method for making the same. The alloy having the composition of 0.05 wt % of Fe, 0.025˜0.15 wt % P, 0.01˜0.25 wt % Cr, 0.01˜0.15 wt %, Si 0.01˜0.25 wt % Mg, and the balance of Cu and minor impurities. The method of making the copper alloy includes: forming the molten alloy, casting to obtain an ingot, hot rolling the ingot at 850˜1,000° C., cooling, cold rolling the hot rolled product (after cooling the same), annealing the cold rolled product at 400˜600° C. for 1˜10 hours, intermediate rolling the annealed product with a reduction ratio of 30˜70%, heat treating the intermediate rolled product at 500˜800° C. for 30˜600 seconds, and finishing rolling the heat treated product with a reduction ratio of 20˜40%.