National Health Research Institutes Establishment Act Article 7

Appointed directors shall be assigned from the Director of the Department of Health (DOH) and heads of related government agencies by the premier of the Executive Yuan.
中文原文 財團法人國家衛生研究院設置條例第7條
聘任董事,由行政院院長就行政院衛生署署長及其他有關機關首長聘任之。

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