In this study, we investigated the routing problem in low earth orbit satellite communication systemswith intersatellite links and using a greedy optimization, we tested the performance of a routingalgorithm proposed in the literature. The routing problem is divided into two separate problems: UDLand ISL routing. For the ISL routing, the problem has been defined as a minimization problem withstart and end satellites known, and minimizing the path handover to connect these end satellites. Weused greedy optimization to solve the problem. In order to use the algorithm on traffic requiringguaranteed QoS, we added an end-to-end delay constraint into the optimization process.Keywords: Intersatellite links, LEO satellite networks, routing, path handover