Jackson River is the name of rivers and places:

Rivers

Jackson River (New Zealand) The Jackson River is a river of the southwestern South Island of New Zealand. It flows predominantly northeast, flowing into the Arawhata River close to the latter's outflow into Jackson Bay. See also *List of rivers of New Zealand This is a ...

, New Zealand * Jackson River (Virginia), United States

Places

* Clifton Forge, Virginia, once known as Jackson's River Station