Gasoline homogeneous charge compression ignition (HCCI) engines can operate with high thermal efficiency and can reduce NOx emission by burning very lean homogeneous mixture at high compression ratio. Therefore, the engines are expected to become practicable as one of next-generation engines. In this study, a reduced elementary reaction scheme for gasoline was proposed, and the ignition and combustion processes and the combustion products in a gasoline HCCI engine were simulated by three-dimensional numerical analysis using the authors' GTT code which was linked to the CHEMKIN subroutines with the proposed chemical kinetic scheme. As a result, the ignition timing, heat release rate, cylinder gas pressure and NO emission at various air-fuel ratios and engine speeds were predicted very well.