A multi-scale problem with respect to time scale occurs in dielectric barrier discharge with moving electrode. The discharge system is modeled with the coupled equation, which consists of a discharge equation for space charge density variation and Poisson's equation for electric field distribution. The analysis model consists of two parallel cylinder electrodes covered with dielectric material. Space charges generated during discharge are accumulated on dielectric barrier, and it affects electric field distribution and the following discharges. In the proposed method, the multi-scale analysis is divided into several steps considering the movement of the surface charge accumulated on the dielectric barrier. The surface potential of electrode is measured and compared with the calculated one. The analysis results show good agreement with the measured surface potential.