Method for remotely controlling an item of equipment for locking a vehicle via a mobile terminal comprising data processing means which are configured to implement a given cryptographic function and biometric acquisition means, the mobile terminal being connected to the item of locking equipment as well as to a server via a network, the method comprising implementing steps of: (a) transmitting, from the terminal to the server, a request to authenticate with the item of locking equipment; (b) the acquisition means acquiring a candidate biometric datum; (c) the data processing means of the terminal checking that the candidate biometric datum coincides with a reference biometric datum which the terminal has at its disposal; (e) authenticating the mobile terminal with the item of locking equipment by virtue of said cryptographic function and of an encrypted virtual key of the item of locking equipment; the method being characterized in that step (c) comprises the data processing means of the terminal generating a zero-knowledge proof that, given a cryptographic mark of the candidate biometric datum and a cryptographic mark of the reference biometric datum, the candidate biometric datum and the reference biometric datum have the two marks as respective cryptographic marks, and that the two biometric data coincide; and transmitting, to the server, said zero-knowledge proof, the cryptographic mark of the candidate biometric datum and the cryptographic mark of the reference biometric datum, for checking by data processing means of the server; and in that it further comprises a step (d) of the processing means of the server checking the validity of the zero-knowledge proof, and, if the zero-knowledge proof is valid, of encrypting the virtual key of the item of locking equipment depending on a secret key of the server, said given cryptographic function depending on said secret key of the server, and transmitting, to the mobile terminal from the server, the encrypted virtual key of the item of locking equipment, step (e) comprising deactivating the item of locking equipment so as to make it possible to use the vehicle. (a) transmitting, from the terminal to the server, a request to authenticate with the item of locking equipment; (b) the acquisition means acquiring a candidate biometric datum; (c) the data processing means of the terminal checking that the candidate biometric datum coincides with a reference biometric datum which the terminal has at its disposal; (e) authenticating the mobile terminal with the item of locking equipment by virtue of said cryptographic function and of an encrypted virtual key of the item of locking equipment; the method being characterized in that step (c) comprises the data processing means of the terminal generating a zero-knowledge proof that, given a cryptographic mark of the candidate biometric datum and a cryptographic mark of the reference biometric datum, the candidate biometric datum and the reference biometric datum have the two marks as respective cryptographic marks, and that the two biometric data coincide; and transmitting, to the server, said zero-knowledge proof, the cryptographic mark of the candidate biometric datum and the cryptographic mark of the reference biometric datum, for checking by data processing means of the server; and in that it further comprises a step (d) of the processing means of the server checking the validity of the zero-knowledge proof, and, if the zero-knowledge proof is valid, of encrypting the virtual key of the item of locking equipment depending on a secret key of the server, said given cryptographic function depending on said secret key of the server, and transmitting, to the mobile terminal from the server, the encrypted virtual key of the item of locking equipment, step (e) comprising deactivating the item of locking equipment so as to make it possible to use the vehicle.