Roudbar Lorestan HPP is located on the Rudbar River in the Zagros Mountains approximately 100 km south of the town of Aligoudarz in Lorestan Province. The water conveyance system, consists of the headrace tunnel is arranged on the basis of one tunnel. After the long headrace tunnel is the symmetrically bifurcated pipe in the tunnel. After the bifurcated pipe are two long branch penstock pipes, are in the horse-shaped tunnel, 8 m wide by 8 m height. the penstock tunnel of Roudbar Lorestan dam is located in fractured rock mass, with different rock types consists of Dalan, Hormoz and Mila formations. Saravand - Baznavid fault is located on border of Hormuz and Mila formations. The geological studies in dam site area reported that the Saravand - Baznavid fault is an active fault. The porpose of this project, initially designed and stability analysis of temporary and permanent support system penstock tunnels under the static condition. then Considering to reduce the damages Saravand - Baznavid fault, Dynamic effect of earthquakes as transient and permanent displacement of the structure of the studied and evaluated. Considering the variety of litology, geomechanical parameters for stability analysis of tunnels is important. so, The sensitivity analysis has done using the 3D numerical solution by FLAC3D software. Finally, using the sensitivity analysis on mechanical parameters and stress ratio the reliable data of shear strength and deformability of rock mass, compared with in situ and laboratory test results, by numerical modeling is defined. Using the rock mass justify; LINE-HEIGHT: 90%; MARGIN: 0cm 0cm 0pt; mso-pagination: none; mso-layout-grid-align: none" Considering geometry and behavior of the rock mass surrounding of penstock tunnels, a three dimensional model is appropriate for analysis and design of penstock tunnels. Analysis of the tunnels is done using the FLAC3D. The ABAQUS software is used for modeling and analysis of the Saravand - Baznavid fault. In this thesis the displacement controlled approach is used for dynamic analysis and design of the penstock tunnels located in fault zone. From the stress and displacement analysis in fault zone, the final support system of the penstock tunnels in fault zone is predicted.