A server certificate verification method in a terminal during. Extensible Authentication Protocol authentication for Internet access is provided, the method including (a) receiving a server certificate from a wireless LAN authentication server, and transmitting a server certificate verification request message of the server certificate to a wireless LAN authentication server via a wireless LAN access server; (b) transmitting by the wireless LAN authentication server an On-line Certificate Status Protocol request message to an On-line Certificate Status Protocol server to verify the server certificate; (c) receiving a result of the server certificate verification performed by the OCSP server using an Extensible Authentication Protocol packet from the wireless LAN authentication server; and (d) determining whether the result of the server certificate verification is valid.