Abstract: A method for welding austenitic stainless steel sheets, in which welding defects do not easily occur. Austenitic stainless steel sheets each with a sheet thickness of 0.6 to 1.0 mm, which each contain, in terms of mass %, 0.08% or less of C, 1.5 to 4.0% of Si, 2.0% or less of Mn, 0.04% or less of P, 0.01% or less of S, 16.0 to 22.0% of Cr, 10.0 to 14.0% of Ni, and 0.08% or less of N, and contain at least one of Nb and Ti in an amount of 1.0% or less in total, with the rest including Fe and inevitable impurities, are overlapped and the overlapped portion is welded by arc welding. In addition, the back side of a deposited portion is cooled from 1200° C. to 900° C. at a cooling rate of 110° C./sec or higher.