AbstractGround resistance of high voltage substations must be as low as possible for safe grounding of their equipment both during normal and fault conditions. However, in gas insulated substations (GIS), even though resistance is low, it does not ensure the step and touch potentials of the grounding system within permissible levels. In the present study, an analytical model has been developed to calculate ground resistance, step and touch potentials of a grounding system used for GIS. Different models have been proposed for the evaluation of number of grounding rods to be inserted in to the ground. The effect of concrete foundations on above performance parameters has been analyzed by considering various fault currents, soil/earth resistivities and number of grounding rods. Finally, design optimization of GIS grounding system has been reported for fault currents in the order of 63 kA located in earth resistivity of 100Ω-m and above.