Weld overlay is one of the useful repair methods for cracked piping that has been successfully applied for piping in many nuclear power plants. This paper proposes an approach for predicting plastic collapse moment for weld overlaid piping with single and multiple circumferential part-through flaws, using a new flaw depth parameter for weld overlay. The formulas for plastic collapse moments for weld overlaid pipes can be simply expressed by similar equations for a single flaw and multiple flaws using the parameter.