The new insurance law explicitly direct claim of liability insurance in a third party insurer, subject to the current development of China's insurance industry and legal penetration. The given of the right that the third party directly request will lead to the emergence of new practices liability insurance disputes brought to the insurance company of the business risk of the unknown. In order to ensure the stable operation of the insurance company, it is necessary to strengthen the prevention of the risk of litigation and to expand the mandatory liability insurance underwriting surface, and strengthen communication with the news media and the public in order to establish the protection of the interests of the insurance companies, and as a liability insurance stable operating system foundation.