The quantum Internet’s significance in information technology is increasingly recognized for its potential to enable secure and private communication. The quantum Internet facilitates the transmission of quantum information over extensive distances, thus unlocking novel possibilities in various applications. In this study we explore the quantum communication capacity within general quantum entangled networks. Leveraging von Neumann entropy, we show the capability of state transfer and information concentration across four-party networks, thereby characterizing the bipartite quantum communication capacity with the support of local operations and classical communications from other parties. We introduce unidirectional and bidirectional models, employing chain or star transferring network configurations, and extend these frameworks to encompass general quantum networks. Furthermore, we provide illustrative examples to underscore the implications of our findings. This research yields the initial nontrivial outcome concerning quantum communication capacity across general quantum networks, shedding light on the potential of quantum networks for advanced communication protocols.