Search for condos for rent in Burlington, IL on Apartments.com. With 0 available, you can find the right condo with the floor plan and amenities that fit your needs. When you rent a condo, you’ll likely rent from an individual owner rather than a property management company. This means units in the same building may have different features and layouts. Be sure to check out the photos and take a tour of the unit as you search for your Burlington home. There are some terrific Burlington neighborhoods with condos for rent, including DeKalb and Townhomes of Townsend Woods. If you’re looking for a budget-friendly condo to rent, try looking in affordable nearby cities like Hampshire, Pingree Grove and Sycamore.