Based on thorough researches on the Chinese wireless local area network (WLAN) security standard, i. e., WLAN authentication and privacy infrastructure (WAPI), the security of the authentication access process is analyzed with the CK (Canetti-Krawczyk) model and the BAN (Burrows-Abadi- Needham) logic. Results show that it can achieve the alleged authentication and key negotiation goals. Besides those alleged, further analyses indicate that the authentication access process can satisfy other security requirements, such as mutual identity authentication, mutual key control, key confirmation, message integrity check, etc. If the used elliptic curve encryption algorithm and the hash algorithm are secure enough, the protocol can efficiently realize mutual authentication between STAs (station) and APs (access point). Therefore, WAPI can be applied to replace the security mechanism used in the original WLAN international standard to enhance its security.