Nagel is a surname. Notable people with the surname include:
Aaron Nagel (born 1980), American musician
Alojzy Nagel (1930–1998), Kashubian writer
Anne Nagel (1915–1966), motion picture actress
Carsten Nagel (born 1955), Danish writer
Charles Nagel (1849–1940), American politician and lawyer
Christian Heinrich von Nagel (1803–1882), German mathematician
Conrad Nagel (1897–1970), American actor and matinee idol
David Nagel, American executive
Ernest Nagel (1901–1985), philosopher of science
Gerd Nagel (born 1957), West German high jumper
Ivan Nagel (1931-2002), German theater scholar, critic and former theater director
Jan Nagel (born 1939), Dutch politician
Lisle Nagel (1905–1971), Australian cricketer
Morne Nagel (born 1978), South African sprinter
Otto Nagel (1894-1967), German painter
Patrick Nagel (1945–1984), American artist
Ray Nagel (1927–2015), college football coach at the University of Utah and the University of Iowa
Simon Nagel (born 1985), Danish footballer
Steven R. Nagel (1946–2014), American astronaut
Stuart Nagel (1934–2001), Professor Emeritus of Political Science at the University of Illinois at Urbana-Champaign
Thomas Nagel (born 1937), professor of Philosophy and Law at New York University
Tilman Nagel (born 1942), German Orientalist
V. Nagel (1867–1921), missionary to the Malabar coast (Northern Kerala) of India
