Constitution of the Republic of China (Taiwan) Article 56

The Vice President of the Executive Yuan, Ministers and Chairmen of Commissions, and Ministers without Portfolio shall be appointed by the President of the Republic upon the recommendation of the President of the Executive Yuan.
中文原文 中華民國憲法第56條
行政院副院長,各部會首長及不管部會之政務委員,由行政院院長提請總統任命之。

English translation for reference only; the Chinese text prevails. Not legal advice.