This paper presents a probabilistic approach to analyze Transient Recovery Voltages (TRVs) induced across circuit breaker poles during clearing faults on TCSC series compensated transmission lines. Different uncertainties have been considered and effect of installing Thyristor Controlled Series Capacitor (TCSC) on TRVs has been studied. Risk indices, representing the likelihood that TRV as well as its rate of rise exceed their design values, are also calculated. In order to improve computational burden of the simulation, kernel density estimation via diffusion is applied on Monte Carlo simulation results. Simulation results show the effectiveness of the proposed approach for probabilistic evaluation of TRV Time-domain simulation studies are performed using Electro Magnetic Transient Program (EMTP) software