Abstarct: The Rudbar pumped-storage power plant with four units with a total capacity of 1000 MW with pound volume of 11 million cubic meters can drastically help to stabilize electricity Network energy. The importance of the studying, controllingt and prediction stability of the walls of the tank, due to damage in structures, of the imbalance in power distribution networks, power failure, mental, and potential adverse effects have caused irreparable damage that must be carefully analyzed and considered the losses of life and property resulting prevent. In this paper first by selection of the 2 most critical sections in the upstream pound of Roudbar pumped-storage power plants, the static stability of the pound when the pound is empty after the construction will be investigated FLAC2D software. Then the stability of the slopes when the pound is full will be checked. In the next step the effects of changes in water level (filling and empting the pound) will be studied. At this point changes in water level simulated by rising to 9 meters of water in each step of filling the pound to reach to the full capacity and then emptying the step by steps will be done. To predict the worst case possible, assuming the failures and damages to the insulation cover of the pound, the effect of decrease in rock strength and infiltration water into the rocks and rapid drawdown phenomenon will be discussed. For simulations of the rapid drawdown phenomenon, assuming the absence of geomembrane cover, elevation of water from 45 meters was brought to 10 meters to the calculation of fluid flow and groundwater levels were predicted through the slope and the computations once again in this case will done. Finally, the dynamic loading caused by the quake was added to all cases before. Accelerograms used in the dynamic analysis according to the seismotecnic reports of the dam site, and the species of characteristics of the ground movements in this area have were selected, finally accelerogram of Silakhor earthquake as the design baxse earthquake and the Accelerogram of Roudbar earthquake as the maximum considered earthquake were used. According to the results of numerical modeling can be concluded that Sections 1 and 2 enjoy a very good static and dynamic stability under the terms of Silakhor earthquake dynamic loading but under acceleration roudbar earthquake there will be large displacement in this slopes. Sensitivity analysis of parameters is an appropriate method to determine the important parameters. Therefore, to determine the most influential parameters and detection of errors in their effectiveness, sensitivity analysis was performed.