In this paper, we propose a double Reconfigurable Intelligent Surface (RIS)-assisted wireless communication system with no direct link present between source and destination. Specifically, to get the maximum benefits from double RIS we consider a system model with first RIS (R1) near to the source, second RIS (R2) near to the destination, and both RIS will independently assist the communication between source and destination. In this setup, a moment generating function (MGF) based symbol error rate (SER) analysis is developed over Rayleigh fading channels. Furthermore, a simplified closed form expression for the system's outage probability in terms of Q-function is derived. The performance of the proposed system is compared with single RIS assisted system with three different placements of RIS. Analytical results are validated using Monte Carlo simulation and simulation results reveal that double RIS assisted Wireless Communication System outperforms the single RIS assisted system in all scenarios with equal number of reflecting elements.