A method and device for implementing a smart antenna in a network that uses a deterministic access protocol, one or more mobile stations MS and at least one base station BS, the transmitted data being included in a data frame, wherein it comprises at least the following steps: On entry into the network: the step of synchronizing a mobile station MS equipped with an FESA directional antenna on a transmission from the base station by changing beam for a duration at least equal to a frame in order to aim the directional beam toward the base station BS to obtain the best signal reception, the step of following the synchronization of the mobile station on the transmission from the base station, and implementing an aiming tracking algorithm in order to retain the best signal reception, the step of determining the parameters for defining the downlink or the uplink by decoding signaling messages contained in the message transmitted by the base station, triggering a network entry procedure. Once the mobile station MS has entered the network: the selection of the new beam being based on a mechanism with hysteresis that uses a linear filtering preceded by a hop-based rejection step or that directly uses a nonlinear filter.