A method and a system for stopping a gas turbine comprising a gas generator provided with rotary members and a combustion chamber. The gas turbine includes a fuel circuit controlled by calculation means in communication with a selector. The method includes a step of closing of the fuel circuit on order of the calculation means when the selector is positioned in a first position for causing the gas turbine to stop. If the gas turbine was not idling prior to the closure, or if it was idling, but for a length of time shorter than a threshold, then an electrical machine automatically rotates the rotary members for a limited duration.