A communication network system that converges a wireless mobile network and a wired discontinuous mobile network and the method thereof is provided herein, with the communication network system and method applicable to the wireless and wired communication technology fields. The convergent communication network includes a user equipment, an access network and a wireless/wired convergent mobile core network. The invention provides a convergence of a wireless mobile communication technology and a wired discontinuous mobile communication technology, and the convergence of wireless mobile communication and wired discontinuous mobile communication in terms of the system functions and structure of a core network, an access network, a user equipment, and a full network. The invention combines the respective advantages of wireless mobile communication and wired communication, overcomes the deficiencies thereof, and solves various problems with conventional wireless mobile communication and wired communication, such as separated networks, complex interconnection and interoperability, the waste and non-sharing of communication resources, and high cost.