With the development of digital technology, civil aircraft will generate a large amount of data at various stages of flight. The utilization and processing of these data will improve the economy, safety and comfort for aircraft operation. In order to meet the urgent requirements of future connected aircraft for massive data exchange and transmission, and to meet the Quality of Service (QoS) requirements of civil aircraft for wireless communication, it is necessary to make full use of and rationally allocate a variety of existing and future air-to-ground wireless communication link resources. This article analyzes the concept of connected aircraft, the ecosystem and its network requirements for the air-space-ground networks, researches the two convergence methods of tight coupling and loose coupling adopted by the ground heterogeneous mobile Internet, adopts a variety of integration methods such as the system integration, IP network and non-IP network integration, and terminal integration, proposes a convergence architecture of air-space-ground wireless communication links suitable for the characteristics of communication links and network systems, and the preliminary considerations for network protocol stack, network security, integration and verification were put forward.