A convertible roof for a vehicle and associated vehicle, the roof comprising at least one front roof element and a rear roof element which can move between a deployed position, in which the front roof element and the rear roof element cover the passenger compartment, and a storage position, in which the front roof element and the rear roof element are stored in the boot of the vehicle. The roof also comprising two pivot arms which each pivot along an axis. The roof comprising motorization means, first means of locking the pivot arms to the post of the windshield of the vehicle and second means of locking at least one front roof element of the pivot arms. The first and second locking means and the pivoting movement of the arms are controlled by the same motorization means, such as an electric motor.