The invention belongs to the field of preparation of composite conductive fibers and particularly relates to a preparation method of a cuprous sulfide/spandex composite conductive fiber. According to the method, firstly, polyurethane fibers are subjected to aminolysis, free amino groups exist on fiber surfaces, then copper sulfate pentahydrate and sodium thiosulfate are used as raw materials, and cuprous sulfide is produced on surfaces of the polyurethane fibers with a chemical reaction method. With the adoption of the method, adsorption of metal sulfides on the surfaces of the spandex fibers is effectively improved. The reaction condition is mild, required equipment is cheap, the production process is simple and lower in cost, besides, damage to strength, smoothness and the like of the fiber is smaller, and the fiber touches soft, is good in deformability, light in weight and good in processability, can be used for preparing various composite materials and has a lot of new applications in aspects of clothing, decoration, industry and the like.