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