Air Traffic Management(ATM) is to control air traffic flow quickly and safely. For efficient ATM, the ability which calculate optimal route using filight plan and filght information is required. Especially for the time-sensitive air cargo, it is essential. In this paper, therefore, we present a dynamic route search algorithm which calculate optimal route dynamically. The conventional method using Dijkstra algorithm has a problem that recalculate the entire route when some airways are closed. However, the proposed algorithm recalculates only affected waypoints, so it finds optimal route quickly and accurately. Comparisons with the conventional method and the proposed algorithm show that the proposed algorithm provides better.