Smyslov (masculine, ) or Smyslova (feminine, ) is a Russian surname. Notable people with the surname include:

Vasily Osipovich Smyslov (1881–1943), Russian chess master and the father of Vasily Vasilievich Smyslov Vasily Vasilyevich Smyslov (1921–2010), Soviet Russian chess grandmaster and World Chess Champion (1957–1958) Anton Smyslov (born 1979), Russian footballer

See also 5413 Smyslov, a main-belt asteroid