In this study the combined dynamic and thermodynamic analysis of a two-stroke internal combustion engine was carried out. The variation of the heat, given to the working fluid during the heating process of the thermodynamic cycle, was modeled with the Gaussian function. The dynamic model of the piston driving mechanism was established by means of nine equations, five of them are motion equations and four of them are kinematic relations. Equations are solved by using a numerical method based on the Taylor series. By means of introducing practical specific values, the dynamic and thermodynamic behaviors of the engine were examined. Variations of several engine performance parameters with engine speed and charging pressure were examined. The brake thermal efficiency, cooling loss, friction loss and exhaust loss of the engine were predicted as about 37%, 28%, 4%, and 31% respectively for 3000 rpm engine speed and 1 bar charging pressure. Speed fluctuation was found to be 3% for 3000 rpm engine speed and 45 Nm torque.