Aasmäe is an Estonian surname. Notable people with the surname include: Hardo Aasmäe (1951–2014), Estonian politician and geographer Mari-Liis Aasmäe (:et), Estonian pop-musician Meelis Aasmäe (born 1972), Estonian cross-country skier (born 1947), Estonian linguist
See also Ääsmäe, settlement in Saue Parish, Harju County, Estonia