The Gibbon River flows east of the Continental Divide in Yellowstone National Park, in northwestern Wyoming, the Northwestern United States. Along with the Firehole River, it is a major tributary of the Madison River, which itself is a tributary of the Missouri River.

The Firehole River is located in northwestern Wyoming, and is one of the two major tributaries of the Madison River. It flows north approximately 21 miles (34 km) from its source in Madison Lake on the Continental Divide to join the Gibbon River at Madison Junction in Yellowstone National Park. It is part of the Missouri River system.