Due to the good thermal conductivity and high reflectivity, copper and its alloys are difficult to be welded by the single laser. The method of green-infrared dual-wavelength pulsed laser coaxial hybrid welding is proposed, and the welding system is developed. In this system, the pulsed green laser is with the energy of 255.4 mJ and the power stability of ±2%. The achromatic welding head ensures the coaxial hybrid precision welding of T2 red copper by a dual-wavelength laser. The microstructure and microhardness of welds are tested. The results show that the welds are smooth with no defects. The weld height of topside equals that of the base metal zone. The weld height of backside is slightly lower than that of the base metal zone. The weld widths of topside and backside are 0.5 mm and 0.4 mm, respectively. The average microhardness of welds is 134 HV, and 64.8% of that of the base metal zone. No serious softening problems occur.