|Date||24 October 1968 — 10:00|
|Location||Campo Marte, Bosque de Chapultepec, Ciudad de México|
|Participants||24 from 8 countries|
|Format||Three rider teams, all three scores to count. Team/individual competitions held concurrently.|
The event consisted of teams of three riders who competed in the individual dressage preliminary round, with all three scores from that round to count towards the team score. Germany won the gold medal as they had in 1964. This was the start of the German dominance of this event. They finished only second in 1972, and did not compete in 1980 because of their support of the American-led boycott, but otherwise won the gold medal in 1964-68, 1976, and from 1984-2008. The Soviet Union was second in Mexico City, led by Ivan Kizimov, the individual champion. Switzerland finished third with the same three riders that had won a silver medal at Tokyo.
|Domini Lawrence||Karat/San Fernando||793|
|Lorna Johnstone||El Guapo||777|
|Johanna Hall||Conversano Caprice||762|