During the Cold War, the world was dominated by two superpowers. In Eastern Asian, China and ASEAN members all had to choose to be close partners of each opposite group. Along with the rising of Japanese economy, the developing of glorious Asian Four Tigers, the democratizing of countries belonging to the Warsaw Treaty and the collapsing of the former Soviet Union, the world military powers have no longer fought against each other, and the force of economic development, replacing armaments expansion, has spread its area. The successful case of economic integration in Europe has spilled outwards its influence and has offered a pathway of rethinking for ASEAN and China to be integrated thanks to their close location. Owing to the forming of ASEAN on the 8th August 1967, in 1980s the growth rates of ASEAN economics have been maintained at around 8 percent. This successive strong growth for many years was such an outstanding performance, comparing to other economic areas around the world, and it has increasingly made people there rich and that Southeast Asia an area of vigorous economic development. Meanwhile, after the Third National Convention in November 1978, the economic system of China has taken revolutionary changes and opened up the Chinese economy to the outside world. Then, after Deng Xiaoping visited the southern China in 1992, China gave up the arguments whether taking capitalism or maintaining socialism, and therefore its economy has became a huge dragon to be an important focus of ASEAN. Since then, the trade relationship between China and ASEAN has been interacting more frequently than ever before. Although the financial crisis was spread in ASEAN in 1997, currencies of those countries were devalued dramatically and it influenced, therefore, their economic growths extremely. However, during this crisis, China government announced strongly that Renminbi would not devalue for sure, and this currency strategy helped ASEAN escape from the financial crisis quickly. After that period, the Dialogue of Ten plus Three has accelerated the economic integration of China and ASEAN. After the Cold War, economic strength of area is one of the main features of power that help a nation to compete with others around world. In 1990s, due to the close location and rapid economic development of ASEAN and China, the trade, investment and co-operation between two sides have been increasing at a high speed. The purpose of this research is to explore, from the perspective of Neo- function-overflow theory, whether China and ASEAN have had on the way to area integration.