Cleveland House Apartments for rent in Washington D.C. on ForRent.com: 1-866-230-5828 For the person who demands an in-town location, yet desires a more serene environment, Cleveland House is the perfect solution. Enter this peaceful, park-like neighborhood and it's difficult to imagine that you're within walking distance of the National Zoo, Adams Morgan, Dupont Circle, the unique shops and restaurants of Woodley Park and all the conveniences of Connecticut Avenue. Great apartments, great service and the amenities you deserve. All at a location that's exactly right, exactly where you want to be.