I don't know.
Sorry this took so long-I don’t think it does unless it’s new. There are some in Tacoma however. Dogs can be walked through the park as long as leashed.
Yes, there is a dog park within Pt. Defiance. It is by Old Ft. Nisqually exhibit on 5 mile drive. There is a fully fenced small dog area, and the rest has some fencing - gate at the entrance. It is a very large area, open "play" area and trails, but as noted it is not completely fenced. There is also a large covered area with a couple of picnic tables. If your dog is a "runner" or requires a fence for boundaries, this is not best place. While there are some natural boundaries. Steep cliff, heavy brush, the fencing is NOT complete. It is however one of our favorite off leash areas because you can walk through the woods and kind of lose yourself. My pup loves to chase the plentiful squirrels and scent of raccoons.
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