End grinding is a mechanical processing technology that shapes the machining surface with high precision and efficiency. However, there are still some unknown links between the time domain transient response and the workpiece surface under the processing of the end grinding. Besides, the enclosed grinding condition makes it hard to observe the links from the experiments. Numerical simulation is adopted to find the effects of the time domain transient response on processed surface height. This paper presents a grinding system simulation model, which combines the grinding force, the time domain transient response of the wheel, and the rotation speed of the workpiece and wheel. Firstly, the lumped mass method is applied to propose a dynamic model. Secondly, calculate the dynamic grinding force with effective abrasives positions and workpiece surface heights. Thirdly, examine the simulation results consistent with the experiment results. Finally, analyze the simulation results to explore the time domain transient response's effects on the machined surface quality. The result illustrates the change in the workpiece surface height during the grinding. It also shows that the wheel’s angle displacement may be responsible for the varying surface height on the workpiece surface. At the same time, the longer length of grinding time causes a higher grinding surface. Furthermore, the research is noteworthy for improving the workpiece surface quality.