The 1920–21 season was the 33rd season of competitive football played by Burnley Football Club. Burnley began the season confidently, despite not having played a match for almost four months before their first league fixture of the season. After losing their first three games, Burnley embarked on a 30-match unbeaten league run from 4 September 1920 until 26 March 1921, winning the Football League First Division and becoming English champions for the first time in their history. Burnley's unbeaten run stood as a Football League record for over 80 years, until it was bettered by Arsenal in the 2003–04 season. Burnley ended the 1920–21 season on 59 points, having won 23 games, drawn 13, and lost 6.

The team reached the third round of the FA Cup, defeating Leicester City away and Queens Park Rangers at home, before unexpectedly losing away to Second Division side Hull City. Burnley won the East Lancashire Charity Cup, beating Blackburn Rovers 8–2 over two legs, but fared poorly in the Lancashire Senior Cup, losing to Manchester City. As league champions, Burnley qualified for the Charity Shield, in which they were beaten 0–2 by FA Cup winners Tottenham Hotspur. Burnley also played two friendly matches during the season. The first, against Blackburn Rovers, marked the opening of Accrington Stanley's new stadium; the other was a benefit match for Patsy Gallacher, against a representative team from the Scottish Football League.

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