Abstract: Load flow analysis is one of the most important tools being used in analysing power systems. The significant uncertain parameters of the system planning and reliability are neglected in the deterministic method. In this study, the stochastic technique is proposed to examine the power flow issues in power systems. The main aim of this study is to provide a solid solution by considering the system uncertainties while keeping the system topology constant. The prospective values and the standard deviation of the power flow of each power line are estimated.