A method of the resources of a broadband mobile network including radio access terminals (BA.sub.i) and a broadband access server (BAS). Upon transmission of a request for access ra_A (.) for connection by a prospective user mobile terminal (TU.sub.c) to a specific access terminal (BA.sub.s), discrimination (A) is carried out of the level of radioelectric power received by (TU.sub.c), the network identifiers (IDTU.sub.c) of this latter and the application (RA.sub.c) requested, on the basis of ra_A (.) the network identifiers are compared with reference identifiers (IDRU.sub.R) in order to control access, and from a list of eligible radio access terminals including the terminal (BA.sub.s) and at least one adjacent radio access terminal, LBA.sub.e=[BAs:LBAv] a prospective radio access terminal BA.sub.c=BAx; x .di-elect cons.[s,v] is discriminated as a function of the location of TU.sub.c relative to (BA.sub.s), the throughput load of each terminal and the requested application.