Events from the year 1960 in Taiwan, Republic of China. This year is numbered Minguo 49 according to the official Republic of China calendar.

• President – Chiang Kai-shek
• Vice President – Chen Cheng
• Premier – Chen Cheng
• Vice Premier – Wang Yun-wu

• 11 January – The founding of Chi Mei Corporation.

• 15 February – The reorganization of Forestry Administration Division to Forestry Bureau.

• 29 March – The launching of National Education Radio.

• 13 April – The opening of the new building of Taipei Grand Mosque in Daan District, Taipei.

• 12 December – The establishment of National Property Administration.

• 12 January – Chyi Chin, singer and songwriter
• 15 January – Ku Chin-shui, decathlete and pole vaulter
• 1 April – Lee Wo-shih, Magistrate of Kinmen County (2009–2014)
• 11 April – Lee Mao-shan, singer and television host
• 2 June – Wu Shiow-ming, Chairperson of Fair Trade Commission (2009–2017)
• 9 June – Winston Chao, actor
• 10 August – Yang Ching-huang, singer and actor
• 25 August – Yen Ching-piao, member of Legislative Yuan (2002–2012)
• 31 August – Tsai Shing-hsiang, fencing athlete
• 18 November – Jiang Yi-huah, Premier of the Republic of China (2013–2014)
• 24 December – Fei Xiang, singer

• 1 June – Yu Hung-chun, Premier (1954–1958).