The provisions of Article 32 of the “Law of Succession of the People’s Republic of China” and Article 57 of the “Opinions of the Supreme People’s Court on Several Issues Concerning the Implementation of the Law of Succession of the People’s Republic of China” are the entire content of non-successor inheritance system in China. The main problems existing in the non-successor inheritance system are as follows, the unclear definition of non-successor inheritance, the lack of a system for the management of non-successor inheritance, the absence of special notice procedures for search successors, legatee and creditors, and the simple determination of the ownership of the inheritance and lack of operability and so on. In contrast, the non-successor inheritance system stipulated by civil law countries such as France, Germany, Japan and South Korea and in the Anglo-American law has the characteristics of specific and rich content and strong operability. Under the premise of the formulation of a unified “Civil Code” was incorporated into the legislative plan of the National People’s Congress’s Legal and Work Committee, We should, based on China’s national conditions, selectively learn from foreign legislative experience, build and improve the relevant content of the non-successor heritage system, and integrate it into the “inheritance chapter of the civil code” with a new look.