How far back in history do you want to go? The Native Americans in Canada played a game very much like Lacrosse and the Mayan or Inca culture played a form of soccer. Both of these games often used a human skull for a ball.
If you just mean since the settlement by Caucasians, some Pilgrim probably said "last one to that rock is a rotten egg" and started a footrace. Target shooting would probably have been a very early competitive sport. Hunting, at that time, would have been an occupation, not a sport.
If you just mean professional sports, bare-knuckle boxing may be the oldest, but it was not organized. The "champion" would travel from town to town in the old west and challenge the local tough guys, offering prize money to anyone who could beat him, but collecting enough in admission fees that he didn't go away without some profit even if he lost.
Lacrosse is the oldest American sport they played the game for days at a time sometimes even though the sport is not played the same the variation is different it was played as a sport even though it wasn't professional it was a sport that was played before there was horses or bulls in America not sure about fencing but don't think native Americans had fencing swords.
wrestling
Baseball is the oldest of the major American teamsports
Midget Tossing
basketball
Lacrosse (oldest American Sport), Hockey (not really American, though)
La Cross is not a cross of any sport its the oldest North American sport ...
The oldest sport in America is believed to be lacrosse, which was played by Native American tribes long before the arrival of European settlers.
Basketball is most popular and oldest surviving sport.
before written history. oldest field sport know to man
I know that it is running. You only have to read Greek history to know it.
I think polo is an oldest animal sport
Archery is often considered one of the oldest sports in the world, with a history dating back thousands of years. While it may not be the absolute oldest sport, it is certainly among the earliest forms of competitive physical activity.