Torrence is an originally Scottish surname. Notable people with the name include:

• A. Andrew Torrence (1902–1940), American politician
• Andrew P. Torrence (c. 1921–1980), African-American university administrator
• David Torrence (1864–1951), Scottish-born actor
• Dean Torrence (born 1940), American singer, the Dean of 1960s singing group Jan and Dean
• Ernest Torrence (1878–1933), Scottish actor
• Eve Torrence (born 1963), American mathematician
• Gwen Torrence (born 1965), American Olympic sprinter
• Leigh Torrence (born 1982), American professional football player
• Maria Torrence Wishart (1893 – 1982), Canadian medical illustrator and the founder of the University of Toronto's Art as Applied to Medicine program
• Michael Torrence (1961–1996), American serial killer
• Nate Torrence (born 1977), American comedic actor
• O'Cyrus Torrence (born 2000), American football player
• Ridgely Torrence (1874–1950), poet and editor
• Walt Torrence (1936/1937–1969), American basketball player