Unlike the large sized generations of transmission system, the distributed generations have complexities in analyzing and determining model. This paper resents an analytical method for the reliability evaluation of distribution system, including the distributed generations. The method using Load Duration Curve model is simpler than the Monte-Carlo Simulation and is more accurate than that using peak load model. The modeling of distributed generation to analysis reliability of customers using LDC is proposed in this paper, and is compared with the MCS method as a result of case studies.