Power flow analysis is a critical tool for power system planning for determination of the best operation and revealing the capability of the hybrid power system to be suitable and efficient for load area. The power flow equation is nonlinear and more measuring time is needed as it becomes more complicated as the number of bus system increases that prevents obtaining accurate results because of continuous changes in power demand and generation. This paper presents an analysis of power flow in hybrid power system using MATLAB software to simulate iterative algorithms such as Gauss Seidel method, Newton Raphson method and Fast Decoupled method for solving the nonlinear power flow equation are used in order to obtain the power flow solution and system losses. The analysis case is applied in steady-state condition for a test case IEEE 6 buses standard system. The paper also illustrates a comparison among power flow study methods according to line loss active power, line loss reactive power, number of iterations, maximum power mismatch and elapsed time. Based on the obtained results, Newton Raphson is found to be more reliable method and accurate because it has the lowest maximum power mismatch and the fastest convergence.