Brewster is an English occupational surname, indicating a female involved in brewing. Notable people with the surname include:

• Anna Brewster (born 1986), English actress and model
• Benjamin Brewster (disambiguation), many people
• Caleb Brewster (1747–1827), American spy
• Chauncey B. Brewster (1848-1941) - fifth Bishop of the Episcopal Diocese of Connecticut.
• Cora Belle Brewster (1859–?), American physician, surgeon, medical writer, editor
• Craig Brewster (born 1966), Scottish footballer
• Daniel Brewster (1923–2007), American politician
• David Brewster (disambiguation), many people
• Diane Brewster (1931–1991), American actress
• Elizabeth Brewster (1922–2012), Canadian poet
• Ethel Hampson Brewster (1886-1947), American educator and philologist
• Few Brewster (1889–1957), Justice of the Supreme Court of Texas
• Flora A. Brewster (1852-1919), American physician, surgeon
• Harlan Carey Brewster (1870–1918), Canadian politician
• Henry Percy Brewster (1816–1884), American lawyer and statesman
• James C. Brewster (1826–1909), co-founder of the Church of Christ (Brewsterite)
• Janet Huntington Brewster (1910–1998), American philanthropist
• John Brewster (disambiguation), many people
• Jordana Brewster (born 1980), American actress
• June Brewster (1913–1995), American actress
• Kent Brewster (born 1961)
• Kingman Brewster Jr. (1919–1988), American educator and diplomat
• Lamon Brewster (born 1973), American professional boxer
• Lincoln Brewster (born 1971), American musician
• Love Brewster, Mayflower passenger
• Martha Wadsworth Brewster (1710–c.1757), American poet and writer
• Paget Brewster (born 1969), American actress
• Pete Brewster (1930–2020), American football player
• Ralph Owen Brewster (1888–1961), American politician
• Rhian Brewster (born 2000), English footballer
• Rudi M. Brewster (1932–2012), American federal judge
• Sardius Mason Brewster (1870-1936), Attorney General of Kansas
• Stephen Singer-Brewster (born 1945), American astronomer
• Tim Brewster (born 1960), American football player and coach
• Todd Brewster, American print and television journalist
• Tom Brewster (born 1974), Scottish curler
• W. Herbert Brewster (1897–1987), African-American minister and songwriter
• Wally Brewster (born 1960), formally James Walter Brewster Jr., U.S. businessman and diplomat
• William Brewster (disambiguation), many people
• Wrestling Brewster, Mayflower passenger
• Yvonne Brewster (born 1938), Jamaican-born stage director, teacher and writer

Television

• Penelope "Punky" Brewster, the fictional character of the television series Punky Brewster
• Tom Brewster, the fictional lead character of the television series Sugarfoot