Abstract: The invention relates to a method, implemented by a terminal, for commanding the establishment of a vehicle accident report, from a telematic computer of the vehicle, characterized in that it comprises the steps of: subscribing, from the telematic computer of the vehicle, to a data publication service, for at least one datum representing a vehicle parameter; repeatedly receiving values for the datum representing a vehicle parameter; determining from the received values, whether the vehicle has been involved in an accident; if the vehicle has been involved in an accident, transmitting to the telematic computer an accident report request; receiving an accident report signed and encrypted by the telematic computer; transmitting the signed and encrypted accident report to a remote server.