A copper alloy conductor has a copper alloy material which has a copper parent material with 0.001 to 0.1 wt % (=10 to 1000 wt·ppm) of oxygen and 0.15 to 0.70 wt % (exclusive of 0.15 wt %) of Sn. A crystalline grain to form a crystalline structure of the copper alloy material has an average diameter of 100 μm or less, and 80% or more of an oxide of the Sn is dispersed in a matrix of the crystalline structure as a fine oxide grain with an average diameter of 1 μm or less.