William Muir (1819–1905) was a Scottish Orientalist and colonial administrator.
William Muir may also refer to:
- William Muir (coach) (1895–1967), American football, basketball, and baseball coach
- William Muir (cricketer) (1907–1964), Australian cricketer
- Willie Muir (1877–?), Scottish footballer
- William Muir (divine) (1787–1869), Scottish minister, Moderator of the General Assembly of the Church of Scotland in 1838
- William H. Muir (1902–1964), American sculptor
- William Muir (writer) (born 1967), British writer
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