NPS Photo by Sally King

Pets can pose a danger to wildlife.

Pets are NOT permitted on any park trails. They are allowed in the picnic area, campground, and parking lots. All pets must be under physical restraint while in the park. Remember, pets may not be left unattended except in a vehicle. Please be sure animals are provided adequate ventilation. Pets should never be left in a closed vehicle during hot weather. 

There are areas on Department of Energy land near the park that do allow dogs.  These areas are located between the town of White Rock and the park, so are along the way if you are coming from Santa Fe, Espanola, Taos, etc.
Printable map of DOE lands where dogs can walk. (3.67 mb PDF)