A composite electric cable including a plurality of element wires twisted together. The element wires include a material wire formed of a composite material containing an aluminum material and carbon nanotubes dispersed in the aluminum material; the material wire has a cellulation structure including a wall portion containing the carbon nanotubes and an inside portion of the wall which is surrounded by the wall portion and which comprises the aluminum material and unavoidable impurities; the material wire has a ratio of carbon nanotube content to aluminum material content of 0.2 wt. % to 5 wt. %; and each of all the element wires forming the composite electric cable is the material wire, or the composite electric cable includes in a center portion thereof one or a plurality of steel wires.