This paper describes a fuzzy control of offsets on coordinated signal systems. The aim is to control the relative offsets of each link in a way of on-line real time basis. By repeating the fine adjustment of offsets corresponding to both upstream and downstream traffic flow measured by detectors every cycle, it is expected that desired offsets are attained and maintained so as to minimize total delay. Many cases of traffic simulation on the roads consisting of 5 signals are executed under various conditions. As a result, some effective offsets are obtained which make the delay smaller than balanced offsets, though it depends on the calculation condition such as traffic flow and cycle length.