This method enables the user of a wireless telephone terminal (T1) to establish an emergency connection in a wireless network involving the use of an authentication server (AS) even when this user does not have the right to access this local network. The method consists, when the user dials an emergency telephone number, of: recognizing this number as an emergency number and then sending (21) a start-up message from the terminal (T1) to a radio access point (AP1) of the network; sending (22) a message, which requests the identity of the terminal, from an access point (AP1) of the network to the terminal (T1) in response to the start-up message; sending (23) a message, which contains the identity of the terminal and an indication indicating that it is an emergency call, from the terminal (T1) of the radio access point (AP1) of the network; transmitting (24) this message from the access point (AP1) to the authentication server (AS); recognizing (25), in the authentication server (AS), that this message contains an indication indicating that it is an emergency call, and sending an acceptance message to the terminal (T1) via the access point (AP1), and; validating a port of the access point (AP1) permitting the terminal (T1) to establish an emergency connection over the local network.