Found this for you.
In general, pets are only permitted in National Parks along roadways, in developed areas and in campgrounds, and must be restrained on a leash no longer than 6 feet in length, caged or crated at all times. Pets are not permitted inside buildings, on most trails, on beaches, or in the back country. "This Pet friendly travel page is a good source for all your travel consideration when traveling with pets:
http://www.petfriendlytravel.com/?page=national_parks