The invention provides an AC fast-switching arrangement based on a controllable device, and a control method thereof. A two-way conducting branch for realizing two-way conducting of working current inthe AC circuit, a compulsive transfer branch used for transferring the current in the AC circuit in the two-way conducting branch to the compulsive transfer branch and reducing the current of the ACcircuit transferred to the compulsive transfer branch to a zero point, a power supply used for providing AC for a rectifying branch and the rectifying branch used for converting the AC provided by thepower supply into DC are provided for achieving the millisecond level turn-on and turn-off of the AC fast-switching arrangement, in order to achieve the fast millisecond level switching of the AC circuit, and the operating times of the turn-on and turn-off can reach 1ms. Moreover, the AC fast-switching arrangement provided by the invention adopts IGBT, so that the comprehensive utilization rate is higher, by means of the controllable characteristics, the voltage resistance and the current resistance level of the IGBT, high-frequency turn-on and turn-off of the AC fast-switching arrangement are achieved, and the power supply for supplying power to a capacitor in the compulsive transfer branch is an AC power supply, thereby being convenient to obtain the power supply on the spot and facilitating the installation of the device.