The invention discloses a laser auxiliary consumable electrode arc additive connecting method for a high-temperature alloy, and belongs to the technical field of welding. According to the method, the laser arc composite welding technology and the additive manufacturing technology are combined, through the coupling function of laser photoinduced plasmas and consumable electrode arcs, stable globular transfer under small current is achieved, layer-by-layer accumulation of micro weld passes is achieved through accurate control over the width and depth of each welding line, a welding connector is formed, the heat input of each welding line is smaller, the welding heat affected zone is narrower, the high-temperature staying time of a melting pool is short, and the solidification speed is increased; the obtained melting pool is narrowed and becomes shallow, chemical components and structures are more uniform, and air holes, cracks and other defects are easier to control; and grain is finer, welding stress and residual deformation are small, the comprehensive performance of a high-temperature alloy welding connector is obviously improved, the component service life is prolonged, and high cost performance is achieved.