Princess Anne at the Olympics in 1976.Getty Images Princess Anne was the first member of the British royal family to compete in the Olympics. Prince Albert II of Monaco and his wife, Charlene Wittstock, are both Olympians. Queen Elizabeth's granddaughter Zara Tindall won a silver medal at the 2012 Olympics in London. Visit Insider's homepage for more stories. In 1976, Princess Anne became the first member of the British royal family to compete in the Olympics.Princess Anne with Goodwill at the Olympics.PA Images via Getty ImagesPrincess Anne rode Queen Elizabeth's horse named Goodwill in the three-day equestrian event at the Montreal Olympics.