The burning rate of hydrogenair premixture on mesoscale is mainly determined by its chemical reaction rate. So a Laminar Finite Rate Model, the gas phase reaction mechanism for the combustion of hydrogenair mixture which consists of 19 reversible elementary reactions and the dynamic mesh method are adopted to simulate the combustion of hydrogenair mixture in a mesoscale IC engine which operates a quasi gas power cycle under ultrahigh combustion load. The combustion of hydrogenair mixture on mesoscale in the micro combustion chamber with moving boundary can be stable. The complete thermodynamic process of heat addition, internal energy increasing, and a boundary work output producing during expansion can be perfectly achieved in the closed combustion system of the mesoscaled IC engine igniting the hydrogenair mixture by wire surface of high temperature. However, running parameters such as cycle period, initial pressure and fuel/air ratio have complex effects on the hydrogenair combustion of micro closed container with moving boundary.