To provide a method and apparatus for driving of a tracked vehicle capable of high-speed turn at a high-speed running in a simple and low-cost configuration, without upsizing the engine, the generator, the capacitor, and a system such as a power generation part including a convertor, etc.

A switch isolates a capacitor from a circuit. An inverter which supplies power to a permanent magnet synchronous motor for driving a crawler is provided with a function which regeneratively operates the permanent magnet synchronous motor at turning and supplies a regenerative power generated by an inertia to the outside. The permanent magnet synchronous motor on the inside is regeneratively operated as a brake when turning at a high speed at a high speed running. The acquired power is supplied to the permanent magnet synchronous motor on the outside while the capacitor is isolated from the circuit to avoid damaging.