Norwood is a surname. Notable people with the surname include:

• Brandy Norwood (born 1979), American singer, songwriter, actress and model; daughter of Willie Norwood
• Charlie Norwood (1941–2007), a United States Representative from Georgia
• Cyril Norwood (1875–1956), British educator
• Daron Norwood (1965–2015), American country music singer
• Eille Norwood, born Anthony Brett, (1861–1948), English playwright and actor known for playing Sherlock Holmes in films
• Gabe Norwood (born 1985), Filipino-American professional basketball player
• James Norwood (born 1990), English professional footballer
• James Norwood (baseball) (born 1993), American professional baseball pitcher
• Janet L. Norwood (1923–2015), American statistician
• Jerious Norwood, American football player
• John Norwood, English recipient of the Victoria Cross
• Jordan Norwood, American football player
• Lee Norwood, American ice hockey player
• Melita Norwood, a British civil servant who provided the KGB with state secrets including the schematics for the British atomic bomb in 1945
• Michael Norwood (born 1985), American basketball player
• Oliver Norwood (born 1991), Northern Ireland international footballer
• Paula Norwood, American statistician
• Richard Norwood, British mathematician, diver, and surveyor
• Ricky Norwood, British actor
• Robin Norwood (born 1945), American family therapist and author
• Rose Finkelstein Norwood (1890–1980), American labor organizer
• Scott Norwood, American football player
• Thomas M. Norwood (1830–1913), a United States Senator and Representative from Georgia
• Tre Norwood (born 1999), American football player
• Virginia T. Norwood (1927–2023), United States physicist
• Willie Norwood (born 1955), American gospel singer; father of Brandy Norwood and Ray J
• William Ray Norwood Jr. (born 1981), American singer and actor known as Ray J; son of Willie Norwood