A swingletree (British Isles) or singletree (North America) is a small wooden or metal bar behind a harnessed horse.
The action of a swingletree is to balance the pull from alternate shoulders as the animal walks.
It is used especially when the animal is in a breastcollar harness, because this can easily rub the shoulders if the pull is uneven.
It is needed less for an animal in a horse collar, as the pull does not pass over the shoulders in the same way.
For this reason heavier vehicles may have no swingletree, as they are normally pulled with a horse collar.