A conductor of an electrical wire for wiring is disclosed. The conductor is obtained by stranding a plurality of copper alloy wire materials, each having a composition containing 0.3 to 1.5 mass % of Cr, with the balance being Cu and inevitable impurities. The conductor has a tensile strength of 400 MPa or more and 650 MPa or less, an elongation of 7% or more when broken, an electrical conductivity of 65% IACS or more, a ratio between a 0.2% proof stress and the tensile strength of 0.7 or more and 0.95 or less, and a work-hardening exponent of 0.03 or more and 0.17 or less. A method of producing the conductor; an electrical wire for wiring, in which an insulating cover is provided on the conductor; and a copper alloy solid wire for the conductor are also disclosed.