As part of the agreement, HSBC has become the exclusive financial services partner of the FEI and will sponsor the FEI Eventing World Cup and the Rankings of Eventing over the next three years.
Eventing has been part of the Olympic programme since 1912 and covers every aspect of horsemanship through dressage, cross country and show jumping.
Giles Morgan, HSBC's group head of sponsorship, said: "It is a sport that provides equal opportunity for men and women, and is truly global in scale. We look forward to an exciting partnership, particularly the development of the HSBC Eventing World Cup."
HRH Princess Haya Bint Al Hussein, FEI president, said: "We are delighted to have reached such an extraordinary agreement with a partner who has a profound understanding of the requirements, the potential and the value of the sport."
Princess Haya is the daughter of the late King Hussain of Jordan, and is married to the ruler of Dubai, HH Sheikh Mohammad Bin Rashid Al Maktoum. The Princess was the first Arab woman to compete in equestrian at Olympic level and last year was elected to the International Olympic Committee.