An Energy Storage System (ESS) is recently drawing an increasing attention as an efficient tool to cope with variation in the energy system. In order to take the best utilization of ESS, the inherent variation of energy supply and demand should be properly addressed. This paper is concerned with computing the stochastic capacity of ESS in the face of such variations by way of Monte Carlo simulation. The issue of uncertainty in energy systems will be given further focus. More works are expected to be followed to address the issues in academia and industry.