John Maynard Smith (1920–2004) was an evolutionary geneticist.

Maynard Smith may also refer to: Maynard Harrison Smith (1911–1984), US recipient of the Medal of Honor

Other people with the surname Sidney Maynard Smith (1875-1928), British surgeon Ralph Maynard Smith (1904–1964), architect Julian Maynard Smith (born 1964), performance artist and co-founder of the London-based performance company Station House Opera