This paper presents a single-phase auto-reclose study of a 1000 kV AC transmission line. The technology of auto-reclose has been widely used on the transmission lines in our country. The purpose is to make the fault line re-run after the temporary fault elimination. As most of the faults are transient in nature, the auto-reclose can greatly improve the reliability of the electricity and the stability of the power system, running side by side. The setting time of the conventional single-phase auto-reclose is determined by a fixed value, when the single-phase opens, auto-reclose recloses at the fixed-time regardless of the fault existence or not, as well as the secondary arc current. In this paper, the issue is given a reasonable solution. According to the arc eliminating time, the dynamic reclosing time is determined.