I did not look for parking as metro was the most convenient means of transportation for me. Federal Center SW was right around the corner.
There are several parking garages within a few blocks
There is a $$ garage attached to the back of the building. There is also street parking that is okay on the weekends, and the Green line metro has a close stop.
I found parking online and paid ahead of time. It worked for me I did have to walk a half mile but it was not that bad
Garages
There are several parking garages within a short distance of the museum as well as meter parking on the streets.
If you can find a spot on the street..and it is pay to park...
Take metro or it's a very short walk from the National Mall. I walked. No problem.
I didnt see a parking lot.
Down the street..
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