Abstract: The timepiece includes a time base (13), a generator (1) formed in particular of a rotor (2) with permanent magnets and at least one coil (3), a barrel (6) with a mainspring coupled to said generator in order to drive it, analogue time indicating means (7) also driven by said barrel. These time indicating means operate substantially synchronously relative to said time base as long as the torque CB provided by said barrel is greater than or equal to a minimum synchronisation torque CSYNC. The timepiece also includes means (12, 16) for braking said generator, magnetised means (18) having with the rotor, when the generator is stopped, a static positioning torque CP allowing said rotor to be kept in a substantially stationary position.