A method for controlling electric power supply of a motor vehicle including a power unit and an electric power supply battery, the vehicle including at least one autonomous computer, at least one master computer, and at least one slave computer, the computers connected by a data network, the autonomous computers each configured to carry out at least one task after the power unit has stopped, and the power supply to the computers being maintained for a first period of time. The control method includes: reporting absence of the autonomous computer to the master computer; interrupting the power supply of each slave computer; interrupting the power supply of the master computer; maintaining the power supply of the autonomous computer beyond the first period of time; interrupting the power supply of each autonomous computer once it has finished its task.