The 1963–64 season was Manchester United's 62nd season in the Football League, and their 19th consecutive season in the top division of English football.

[1] United failed to win any major trophies this season, but they made a strong challenge for the three major prizes, finishing second in the league, reaching the semi-finals of the FA Cup and the quarter-finals of the European Cup Winners' Cup.

A notable debutant this season was 17-year-old Northern Irish forward George Best, whose debut came in the league against West Bromwich Albion on 14 September 1963.

[2] The highly promising Best turned out a total of 17 times for United that season, scoring four goals.

Striker Denis Law had an outstanding season, scoring 30 goals in the league and a total of 46 in all competitions.