The finite volume time domain(FVTD) method gives accurate results for the calculation of electromagnetic wave propagation but it should be noted that the number of sampling points per wavelength should be increased when more accurate numerical results are required. Moreover it requires large amount of computer memory resources. In this paper we propose a modified FVTD that employs a time subdivision. The local time-subdivided FVTD(FVTD-LTS) method is enough to divide the space domain grid with a large step size. This method can reduce computation time and memory resources. To validate the proposed method, sever numerical examples are presented. We have then shown that the proposed method yields a reasonable solution.