The 1964–65 season was Kilmarnock’s 63rd in Scottish league competitions, during which they became league champions for the first time in the club’s history. The title was won on the final day of the season with a 2–0 win at Hearts. Kilmarnock won the championship on goal average, a tie-breaker that was replaced by goal difference in 1971–72. Had goal difference been adopted by 1964–65, Hearts would have won the championship.