Brickell is a surname. Notable people with the surname include:
- Antonia Brickell, British radio personality
- Barry Brickell (1935–2016), New Zealand potter and writer
- Butch Brickell (1957–2003), American racing driver
- Edie Brickell (born 1966), American singer-songwriter
- Fred Brickell (1906–1961), American baseball player
- Fritz Brickell (1935–1965), American baseball player
- Richard Brickell (born 1975), British sport shooter
- Robert C. Brickell (1824–1900), associate justice and chief justice of the Supreme Court of Alabama
- William Brickell (1817–1908), American businessman and city founder