In this contribution we are reporting the cycling performance of GO-S & rGO-S composite cathode with solid electrolyte lithium sulphide and phosphorous pentasulfide (Li₂S/P₂S₅) for solid state lithium sulphur batteries. The composite cathode was fabricated via different composition of S, GO and rGO with acetylene dark (AB) and Li₂S/P₂S₅ by ball-milling. Electrochemical performance has been tested by galvanostatic charge-discharge at 0.1C c-rate showing initial charge capacity approx1800 mAh/g and constant capacity upto 390 mAh/g over no of cycles. Our results indicate a significant improvement in rate and cycling performance of Li₂S/P₂S₅ solid electrolyte.