The invention discloses a welding method for Ti2AlNb-based intermetallic compound and dissimilar titanium alloy, and relates to a composite welding method for a bias laser and TIG electric arc in a parallel arranging mode. The method comprises the steps that: firstly, cleaning and polishing are carried out on a to-be-welded workpiece, and a fixture is fixed; secondly, a geometrical parameter is set; thirdly, a welding parameter of laser-TIG composite welding is set; fourthly, the electric arc is activated, and welding is carried out. The laser acts on one side of high-melting point base metal, and the TIG electric arc acts on one side of low-melting point base metal. Compared with laser welding, the weld heat input is lowered, the retention time on a high-temperature peak value is shortened, the welding joint of the high-temperature intermetallic compound is reduced, and therefore the high-temperature brittleness is lowered. By adding the TIG electric arc, the weld heat cycle is improved, the inter-coupling effect of two heat sources, namely the laser and the TIG electric arc, is demonstrated, the two heat sources, namely the laser and the TIG electric arc, are arranged perpendicular to the direction of the welding, the locating accuracy of the welding joint during the laser welding is greatly lowered, and the adaptability of the welding process is improved.