A method for starting an aeronautical free turbine and single-spool gas generator turbomachine, wherein to ensure, under the control of a turbomachine regulation computer, the startup of the turbomachine solely from a battery delivering a nominal direct voltage of 28V, two electric machines attached to the same accessory gearbox mechanically linked to the gas generator of the turbomachine and mounted in parallel on the battery are actuated sequentially, the first electric machine being started under a starting torque allowing an increase in the speed of the gas generator with a determined minimum acceleration, and the second electric machine being started only after detection of the ignition of the combustion chamber of the gas generator and before reaching a critical speed corresponding to the maximum resisting torque of the gas generator, the sum of the starting torques developed by the two electric machines being sufficient to guarantee in all circumstances that the torque margin at the maximum drag point corresponding to the maximum resisting torque of the gas generator is positive.