Team, Open

This was a separate competition from the individual jumping, as had been true in 1912, 1920, and 1960, and as would become standard. Teams consisted of three riders taking two rounds, with all three riders scores in both rounds to count towards the team total. The course was measured at 631 metres with 14 obstacles and 17 jumps, but only four of the 87 rounds were inside the time limit of 96 seconds, and it has been argued that the course was actually 693 metres long. Fifteen teams started the competition with only Ireland not finishing the two rounds. However, in Mexico City, if a rider did not finish a round, he and the team were not eliminated. Rather the rider was given a score for the round equal to the highest score of any rider who finished, plus 20 points.

Great Britain took the lead after the first round with 48.00 faults, ahead of Canada, with 49.50 faults, followed by France and West Germany. Canada, France, and the United States were 1-2-3 in the second round, and were very close, to bring Canada the gold medal. France won the silver, while bronze went to West Germany, which had been fourth in round one, and fifth in round two. Great Britain dropped back to eighth when Marion Coakes could not finish the second round, as her horse, Stroller, had a severe toothache. She was given the maximum points of 72.75 for her ride.