In recent years, the integrated space-ground network communication system plays an increasingly important role in earth observation and space information confrontation for the civilian and military service. Its characteristics on wide coverage, which may be the only way to provide Internet access and communication services in many areas, has extensively promoted its significance. This paper discusses the architecture of integrated space-ground communication networks, and introduces a novel routing algorithm named Improved Store-and-forward Routing Mechanism (ISRM) to shorten the transmission delay in such a network. The proposed ISRM algorithm is based on store and forward mechanism, while it trying to find several alternative delay-constraint paths by building the route-related nodes encounter-probability information table and communication timing diagram. Simulation is conducted at the end, and comparisons between ISRM and baseline algorithm are given. The results show that ISRM can achieve relatively good performance in terms of transmission latency in integrated space-ground networks.