The invention provides a safety device for automobile tire burst and a control method of the safety device. The safety device of the automobile tire burst includes a collision sensor, a gas generator,a safety gasbag, a tire pressure monitoring device, a tire burst linkage system and a controller; the collision sensor is arranged on the inner part of automobile tires and connected with the gas generator; the gas generator is a firework type gas generator and includes two connected two-stage gas generators arranged symmetrically along the outer circumference of the safety gasbag; the safety gasbag sleeves the outer circumference of a wheel hub and after inflation can be expanded to be filled with the space between the automobile tires and the wheel hub; according to the safety device for the automobile tire burst, when the automobile tire burst occurs, the tire burst can be supported, a tire burst wheel can keep the dynamic balance in the driving process, and at the same time, through the controller, the linkage between an automobile tire burst signal and an automobile ESP can be realized to maintain the posture of an automobile body to drive for a long distance after the automobiletire burst, and the driving safety of drivers is ensured.