A method of managing mobility of a mobile terminal in a communication network comprising a plurality of access points and an access points discovery server adapted for providing the mobile terminal with a list of access points selected from among the network access points is disclosed. In some embodiments, the method comprises the following processes, implemented by the access points discovery server: reception of a quality of service class determined by an item of equipment for application of quality of service as a function of a service accessed by the mobile terminal and generation of the list of access points by selecting at least one access point compatible with the quality of service class determined by the item of equipment for application of quality of service.