During the Tenth General Assembly of the United Nations in 1955, the general debate on the admission of new membership had become the focus of international politics. Since the United Nations was founded in 1946, more than 20 countries' membership applications were laid on the table due to the perplexing political situation during the Cold War. Nevertheless, the death of Stalin in 1953 to some extent mitigated the tensive relationship between the United State and the Soviet Union, and brought an opportunity to solve the affiliation problem. Under this background, Canada proposed a resolution of admitting all 18 countries that had been applying for membership but failed. This proposal was supported by majority of members in the General Assembly. However, it also confronted two crucial issues in the Security Council. On the one hand, the government of Republic of China tended not to recognize the independent status of People's Republic of Mongolia, and therefore against Mongolia's affiliation. On the other hand, the Soviet Union strongly insisted a package deal including Mongolia, that is, all 18 or none. As a result, the affiliation cases were voted by both Soviet and republican China in the Security Council. While this dilemma seemed to be irresolvable, the Soviet Union suddenly proposed a new draft resolution admitting 16 nations' memberships except Japan and Mongolia. This new proposal was adopted by the Security Council and the General Assembly promptly on the very same day. All in all, this case offers us a window to look into the historical development of the United Nations and the diplomatic history of Republic of China as well as to observe the complicity of the Cold War polities.