Nano-satellites (≤10 kg) are one of the current key areas of space science. Due to their limited resources, nano-satellites have limited capabilities and single functionality. However, a cluster composed of multiple nano-satellites can effectively break through the limitations of individual ones and perform more complex tasks. Narrowband wireless networks are the core technology of nano-satellite clusters, which need to meet communication distance requirements within tens to hundreds of kilometers of satellites group, adapt to the capacity needs of hundreds of satellite nodes, support various forms of communication such as unicast, broadcast, and multicast, and meet real-time requirements of multiple satellites collaborating on tasks. To this end, a hierarchical network architecture based on routing technology has been designed, and a low-power wireless network TurMass™ technology chip has been adopted at the network terminal Nano-satellite. By modifying the data link layer and network layer protocols, a task-network with both network capacity and real-time performance has been achieved under the condition that the maximum transmitting power of the network terminal is only 17 dBm, with a communication rate of no less than 1500 bps@50 km.