Moving single bubble sonoluminescence has been discovered after searches to find the fluids other than water for observing L and have been studied recently. The main property of these fluids is their more viscosity rather than water. In this thesis, after introducing the forces which act on sonoluminescing bubble, the moving of the bubble have been simulated. For this purpose, the bubble’s equation of motion is coupled with the Rayleigh-Plesset and temperature equations. For solving these equations we have used the Runge-Kutta method. We have shown that the path of bubble is the same as an ellipsoidal movement near the center of the flask. We have also shown that the history force is the reason for this behavior of the bubble motion. As when it is eliminated from the bubble equation of motion, the bubble will be stationary at the center of the flask. One of the main results of this simulation is that the maximum temperature (at collapse moment) of bubble is increased by reducing the distance of the bubble from the center of flask. Due to direct relation between light emission and the temperature of the bubble, the same result can be get for intensity of the light. In other words, we have shown that the intensity of the emitted light from bubble oscillates. Accordingly we propose that the measurement of the light oscillation from the moving bubble is as a criterion for experiment on moving single bubble sonoluminescence. For describing the inner properties of the bubble, isothermal and non-isothermal models are used. In addition to inner properties of the bubble, the translational properties are also different in the two different models. In this thesis we have investigated the influences of the models in the simulation results. Finally by comparison between the results of moving and stationary sonoluminescing bubble, the effects of the bubble movement on the important parameters such as radius and temperature of the bubble are investigated.