In the sinusoidal steady-state analysis, it is an advantage of boundary element method that eddy current analysis can be performed by only the surface integral without the volume integral. However, the volume integral and the surface integral are necessary for boundary element analysis in the transient problem. Therefore, the advantage of the boundary element method vanishes. In this paper, techniques of the transient analysis by boundary element method using the Fourier transform are presented. In the proposed method, the response of the frequency domain is obtained by boundary element analysis in the sinusoidal steady-state analysis. Transient analysis is by the inverse Fourier transform using the response of the frequency domain. Therefore, the volume integral with respect to the region to be analyzed is not necessary. The applicability of the presented method is shown by the comparison of the computation results of the two-dimensional model and three-dimensional model with the theoretical values. Furthermore, the stability of the presented method is compared with the time differential method.