The present invention is related to a method for implementing EAP authentication relay in a wireless access system. During the EAP authentication process, an authentication protocol of the EAP over a wireless medium runs between the Supplicant and the Authentication Relay, the EAPoL protocol runs between the Authentication Relay and the Authenticator, and the Authentication Relay performs the transformation between the authentication protocol of EAP over wireless medium and EAPoL. The method in this present invention may facilitate the interoperability between the Authentication Relays and the Supplicants from various vendors, as well as make better use of the current Ethernet access and aggregation network. The present invention can work under the current framework of a fixed access network without much modification.