National Park: The park service operates 9 campgrounds with almost 800 sites among them, most with water and more than half with flush toilets and RV dump stations. You can reserve the Furnace Creek Campground online during peak season (winter). Up to 4 pets per campsite are allowed, but they have to be kept on a leash at all times.
You can also make your own back country camp in Death Valley, with some restrictions. Find out all the ins and outs. You'll need a free permit, which you can get from the visitor center.
You'll find two privately-run Death Valley camping options in the park:
Panamint Springs Resort: They have tent sites, full hookups and the only place with 50 amp service in Death Valley, Pets allowed with an extra fee.
Stovepipe Wells A limited number of full hookup RV sites. For tent campers, there's also a campground next door, run by the National Park Service. If you stay there, you can use Stovepipe Wells' swimming pool and showers for a fee.

