Frøkjær is a Danish surname. Notable people with the surname include:
Alfred Frøkjær Jørgensen (1898–1988), Danish gymnast (born 1968), Danish journalist and TV presenter (born 1973), Danish science journalist and academic Mads Frøkjær-Jensen (born 1999), Danish footballer Naja Frøkjær-Jensen (born 2001), Danish handball player