A numerical analysis was conducted to estimate the movement of a shield tunneling machine accurately. This analysis simulated the movement of the machine, that is, the process of the angle change and the forward movement. The validity of the method was checked by comparing the coefficient in mathematical models estimated by the analysis with the data of model experiments and practicall tunneling projects. Furthermore, the estimated values of some parameters in the analytical model were compared with those from the simple method which was proposed by the authors previously. It was clarified that this method estimated the shield movement more accurately than the simple method.