Search for condos for rent in Southport, CT 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 Southport home. There are some terrific Southport neighborhoods with condos for rent, including Downtown Stamford, Harbor Point and Black Rock. If you’re looking for a budget-friendly condo to rent, try looking in affordable nearby cities like Fairfield, Westport and Bridgeport.