Glennie is a surname. Notable people with the surname include:
Alick Glennie (1925—2003), British computer scientistAlison Glennie, British actressAngus Glennie, Lord Glennie (born 1950), Scottish judgeBill Glennie (1924—2005), Canadian ice hockey playerBobby Glennie (born 1957), Scottish footballerBrian Glennie (born 1946), Canadian ice hockey playerCharlotte Glennie (born c.1972), New Zealand journalistErnest Glennie (c.1871—1908), New Zealand rugby union playerEvelyn Glennie (born 1965), Scottish musicianGeorge Glennie (born 1902), American football playerIrvine Glennie (1892—1980), Royal Navy officerJim Glennie (born 1963), British musicianJohn Stuart Stuart-Glennie (1841—1910), British folkloristScott Glennie (born 1991), Canadian ice hockey playerWilliam Glennie (1761—1828), British teacher