The invention essentially concerns a method for fast starting of a hybrid vehicle. Said method uses a power transmission device (1.1) comprising a traction chain consisting of a heat engine (2), a clutch (3), an electrical machine (4), and wheels (6). The invention is characterized in that said method, in order to rapidly accelerate the vehicle when it is stopped, consists in starting the heat engine (2) concurrently with the actuation of the electrical machine, using a starting system (7) mechanically independent of the electrical machine (4).