This paper describes the modeling and an analysis of traffic queue dynamics at intersections and shock wave propagation in coordinated signal systems by kinematic wave theory. Trajectories of shock waves which propagate from link to link of the road made up of a given number of signalized intersections are drawn on the time-space diagram on personal computer in an easy-to -understand visual way. Trajectories of vehicles which travel on a link can also be drawn on the display. Furthermore, the delay at each link can be computed for specified signal control parameter such as cycle length, green time and offset. Therefore, the relationship between delay and offset can easily be obtained.