The finite element (FE) model of a tire to simulate tire blowout is developed, the effectiveness of which is validated by the tire blowout test. Then, a simplified FE model of a vehicle that integrates the tire model is established. The vehicle responses to tire blowout are analyzed under the situation of no steering and braking behavior on the vehicle. Finally, some meaningful results, such as the trajectory, yaw velocity of the vehicle, and the forces acting on the tires, are obtained. This study provides the foundation to further investigate the handling stability and control strategy of a vehicle when a tire blowout occurs during normal vehicle operation.