Authentication system and method thereof for integrating heterogeneous network

An authentication system for integrating heterogeneous network, comprising:

• one or a plurality of wireless routers, used to provide a wireless network service for a connecting device;
• a wireless gateway, connected with and configured with the wireless router;
• a mobile network core system;
• a heterogeneous network router, with customized function of error behavior handling, connected with the mobile network core system and the wireless router for asking Layer 2 address data of all connected users from the wireless router so as to provide a mobile network service for the connecting device;
• and
• an authentication server, connected with the wireless gateway, the mobile network core system, and configured with the splitting operation between the wireless router and the heterogeneous network router;
• wherein, when an external terminal device is located in a service covering range of the heterogeneous network router and the wireless router, the heterogeneous network router is triggered according to the Layer 2 address data to determine whether the terminal device has a heterogeneous network integration access condition or not, when the terminal device has a heterogeneous network integration access condition, the authentication server is triggered to authenticate the terminal device, and after the authentication server finishes the authentication of the terminal device, the terminal device is ordered by the heterogeneous network router to communicate with the heterogeneous network router and the wireless router in the same time so as to perform the splitting operation of the telecommunication traffic.