The present invention provides polymer/metal composite fibers and a preparation method thereof. The composite fibers comprise polymer fibers containing metal staple fibers, wherein the metal staple fibers are adopted as the dispersed phase and are distributed in the polymer fibers in a parallel manner along the polymer fiber axis, the polymer is a thermoplastic resin, the metal is at least one selected from a single-component metal and a metal alloy, the melting point of the metal is 20-480 DEG C and is lower than the melting point of the polymer, a volume ratio of the metal staple fibers to the polymer fibers is 0.01:100-20:100, and the volume resistivity of the composite fibers is less than or equal to 1*10<11>[omega].CM. According to the present invention, the fibers are obtained by carrying out melt blending, spinning and heating stretching on the metal and the polymer; the antistatic property, the breaking strength, and the elongation at break of the composite fibers are concurrently increased, the size is reduced, the dyeability is good, and the antistatic property is lasting; and the preparation method is simple and is easily subjected to industrialized mass production.