The nearest campground to Old Faithful and the West Entrance occupies a sunny, open forest in a broad meadow above the Madison River. Bison and the park’s largest elk herd frequent the meadows to its west, making for great wildlife-watching, and it’s a fine base for fly-fishing the Madison. You can (and should) reserve your site in advance.
Tent-only sites are ideally placed nearer to the river. A junior ranger station and campground amphitheater lie just a short walk away and offer nightly ranger talks. The campground is just west of Madison Junction, 14 miles east of the West Entrance and 16 miles north of Old Faithful. There's an RV dump station, but the nearest food and showers are at Old Faithful.