Show jumping

51 riders from 16 countries contested the team and individual competitions. The 14 obstacle course for the team competition had 17 efforts, and was measured at 631 meters in length. However, only 4 of 87 rounds were within the 96 second time, prompting some to believe that the course was incorrectly measured and was really 693 meters in length. The individual competition consisted of 3 courses. The first was a 750-meter course. Round B was similar to a puissance course, with its major obstacle being a 1.70 meters high and 2.20 meters wide oxer. Round C was a 370-meter jump off.

The Irish Team had tough luck this year, after their first rider on course, Diana Conolly-Carew, was eliminated. Due to miscommunication, the Irish chef de’équipe was told that his entire team had been eliminated. Therefore, the horse of second rider Ada Matheson was sent back to the stable, so was not ready when she was called, eliminating her from the competition. The final rider, Ned Campion, later rode, but with two of the riders eliminated the team was also eliminated.

The Canadian show jumping team won the final event of the Mexico City Olympics when it captured the Team Show jumping contest at the Estadio Olympico which guaranteed a worldwide television audience. Canada would not win their next Summer Olympics gold medal until 1984.

Dressage

8 full teams competed in the dressage event, with 3 riders to a team. Additionally there were 2 individual riders from Mexico, making a total of 26 riders from 9 nations competing. The 1968 Games Grand Prix dressage test had 33 movements and lasted 12 minutes 30 seconds. It was judged by men from Chile, France, and the Netherlands, since none of these countries had riders competing. Germany and the USSR had 2 riders each in the top 4, earning them gold and silver team medals. Josef Neckermann and his mount Mariano were in first after the Grand Prix with 948 points, well ahead of Ivan Kizimov and Ikhor (908 points) and Reiner Klimke and Dux (896 points). These three riders, along with 4 others that made it into the ride-off for individual medals, performed a shortened (6 minute, 45 second) test. However, Kizimov rode a great test for 664 points, compared to Neckermann's 598, allowing him to pull ahead for the individual gold medal.

Eventing

The eventing cross-country at the 1968 Olympic Games was notoriously difficult, and today would not be acceptable for competition. Originally Oaxtepoc was chosen as the site for the cross-country course, but between the footing (very rocky) and the climate (hot and humid), the organizers decided to move the course to the golf club of Avandaro in the Valle de Bravo. Although it was at higher altitude (1,800 meters vs Oaxtepoc's 1,450 meters), it had a mild climate with a cool breeze. However, it was also known for intense rainfall from October to March, a fact that was ignored and which resulted in very serious difficulties for the competitors.

30 of the 49 riders managed to complete Mario Becerril's 35 obstacle course before a heavy rain fell. Although it lasted only 30 minutes, the penultimate obstacle, a 2 meter wide stream, became 12 meters in width and flooded the entire take off point for the horses. In addition to the trouble caused by that fence, there were two equine fatalities which occurred before the rain: the USSR's Ballerina and the Irish eventer Loughlin. When all horses had completed, Jean-Jacques Guyon, Jim Wofford and Pavel Deev were in the top three with less than a 10-point margin between them.

The show-jumping phase also took its toll, after Wofford fell off Kilkenny and dropped into 6th. Deev was in contention for individual gold, but jumped the wrong fence and was eliminated. This allowed Guyon to move up to the gold medal spot, followed by British rider Derek Allhusen on Lochinvar and American Michael Page on Foster.