Not on the outside, but you can climb the stairs inside to the observation deck near the top.
They say they no longer allow you to even come down the stairs due to safety and vandalism to the plaques located on the walls on the way down. I have heard there are a couple times a year that they allow you to go down the stairs, but can't find anything giving any specific dates or validity to that.
The place where you would climb the city's tallest structure is the Washington Monument which is the big pointy thingy close to the White House.
Washington monument
Darby Field did in 1642 - a monument on Route 16 commemorates this feat.
Because it is a monument to George Washington.
The Washington Monument is in Washington D.C.
The Washington Monument.
in washington monument there is a statue of washington hiself
Washington's Monument
WHY IS THE SAYING ON THE WASHINGTON MONUMENT THEIR?
Yes, the Washington monument is indeed in Washington D.C.
Yes, the Washington monument is indeed in Washington D.C.
The Washington Monument in Washington, DC