Lazzeri is one of only 14 major league baseball players to hit for the natural cycle (hitting a single, double, triple and home run in sequence) and the only player to complete a natural cycle with a grand slam. He also holds the American League record for the most RBI in a single game, with 11 on May 24, 1936. In that same 1936 game, he became the first major league player to hit two grand slams in one game. Lazzeri was posthumously inducted into the National Baseball Hall of Fame by the Veterans Committee in 1991.