The invention relates to a non-axisymmetric rotary tungsten electrode GTAW and pulse laser composite welding method, and belongs to the technical field of GTAW welding. A based welding system comprises a pulse laser system, a welding gun system and a wire feeding device. The method comprises the following steps: providing pulse laser by the pulse laser system, arranging a laser unit between the wire feeding device and a welding gun, periodically providing pulse laser to irradiate a welding wire by matching with rotation of a non-axisymmetric tungsten electrode. The problems such as uneven smelting for non-axisymmetric rotary electric-arc welding wires are solved, thermal input of welding is reduced, quality of welding seams is improved, and deposition efficiency is remarkably improved.