The 1963 Mexican Grand Prix was a Formula One motor race held at the Ciudad Deportiva Magdalena Mixhuca in Mexico City on 27 October 1963. It was race 9 of 10 in 1963 Formula One season.

Jim Clark dominated the race from pole position, a time that was 1.7 seconds faster than anybody else. Mexico was considered one of his most successful venues. His fastest lap of the race eclipsed his pole time by 0.7 seconds, and he lapped the entire field except for second and third behind him. He eventually scored a total of five pole positions, four fastest laps and three victories at the venue in his Formula One career. This was also his sixth win, his sixth fastest lap, and his sixth pole position of the nine races completed in 1963.

This was also the only World Championship Grand Prix where a car raced with the number 13 until Pastor Maldonado selected the number as his permanent race number in 2014.