This paper describes the delay-minimizing offsets of signal coordination based on the single rectangular platoon model. The platoon is assumed to be represented by a single rectangle and to disperse at a constant rate according as it travels. At first, the delay functions at signalized intersections are derived. Next, for two signals independent of the others, the optimal relative offsets minimizing the total delay of the link are obtained. Then, by using DP technique, the optimal offsets for multi-signal arterial streets considering the influences from upstream signals are obtained. As a result, it is found that one of three specified offsets, the preferential, the simultaneous or the alternative offset, is optimal for two signals, and that although one of three specified offsets is nearly optimal for multi-signal arterial steets, it is not always optimal. So it is better to optimize the offset patterns for multi-signal arterial streets by the optimization technique such as DP.