In this paper, a new finite-difference time-domain (FDTD) method is proposed in order to eliminate the Courant-Friedrich-Levy (CFL) condition restraint. This new algorithm is based on an alternating-direction explicit method. This work is the first application of the alternating-direction explicit (ADE) method to the FDTD method. In this report, numerical formulations and some simulation results are presented. Furthermore, the results by ADE-FDTD method are compared with the results by the conventional FDTD method. As a result, it is confirmed that the proposed method is almost unconditionally stable and superior to the conventional one.