A method of controlling access to a cellular communication network, for a terminal identified by a terminal identifier (IMEI) with a subscription identified by a subscription identifier (IMSI), comprising the following steps performed by means of at least one processor: - creation, in a database recorded in data storage means, of at least one record associating a plurality of subscription identifiers comprising at least one subscription identifier with a plurality of terminal identifiers comprising at least one terminal identifier, the plurality of terminal identifiers of the record being formed by one or more terminal identifiers and/or by one or more terminal identifier ranges and/or by one or more terminal identifier prefixes, each prefix being deemed to comprise all the terminal identifiers beginning with said prefix, - checking that said terminal together with said subscription are indeed authorised to use the cellular communication network, by verifying the presence in the database of at least one record comprising the subscription identifier (IMSI) of said subscription associated with the terminal identifier (IMIE) of said terminal, characterised in that the record also comprises a "value mode" that determines how the presence of the terminal identifier (IMEI) of said terminal is to be verified among the terminal identifiers of the plurality of terminal identifiers of the record, the "value mode" indicating either that the terminal identifier (IMEI) of said terminal must be verified exactly, or that the terminal identifier (IMEI) of said terminal must be verified for a limited part to its prefix, said verification being performed at the time of each attempt at connection of said terminal or of said subscription to the cellular communication network, - authorisation of access or refusal of access of said terminal to said network according to the result of the verification step. - creation, in a database recorded in data storage means, of at least one record associating a plurality of subscription identifiers comprising at least one subscription identifier with a plurality of terminal identifiers comprising at least one terminal identifier, the plurality of terminal identifiers of the record being formed by one or more terminal identifiers and/or by one or more terminal identifier ranges and/or by one or more terminal identifier prefixes, each prefix being deemed to comprise all the terminal identifiers beginning with said prefix, - checking that said terminal together with said subscription are indeed authorised to use the cellular communication network, by verifying the presence in the database of at least one record comprising the subscription identifier (IMSI) of said subscription associated with the terminal identifier (IMIE) of said terminal, characterised in that the record also comprises a "value mode" that determines how the presence of the terminal identifier (IMEI) of said terminal is to be verified among the terminal identifiers of the plurality of terminal identifiers of the record, the "value mode" indicating either that the terminal identifier (IMEI) of said terminal must be verified exactly, or that the terminal identifier (IMEI) of said terminal must be verified for a limited part to its prefix, said verification being performed at the time of each attempt at connection of said terminal or of said subscription to the cellular communication network, - authorisation of access or refusal of access of said terminal to said network according to the result of the verification step.