The injuries were described as minor. The motorcade was en route an Olympic event in Vancouver, British Columbia, when the collision occurred, Biden spokesman Jay Carney said in a statement.
"Earlier this afternoon, a van in the vice president's motorcade carrying members of the official U.S. Olympic Games Delegation was involved in a minor accident while traveling to an event," Carney said. "Two members of the delegation, Peggy Fleming and Vonetta Flowers, received minor injuries and were taken to a local hospital as a precaution."
Carney said Fleming, 61, and Flowers, 36, have left the hospital. No one else in the Biden party was injured he said.
Fleming -- a member of the World Figure Skating Hall of Fame, the U.S. Figure Skating Hall of Fame and the U.S. Olympic Hall of Fame -- was U.S. national champion from 1964-68 and world champion from 1966-68. She won an Olympic gold medal in 1968 at Grenoble, France.
Flowers won an Olympic gold medal at Salt Lake City in 2002 as a member of the U.S. bobsled team. She is the first person of African descent to win a Winter Games gold medal.