Cheap Apartments For Rent In Sioux City Ia . Condos, and townhomes are available for rent at an affordable price in sioux city. Use our customizable guide to refine your options for apartments with cheap by price to find anything between low income and luxury that sioux city, iowa has to offer. 1718 Morningside Ave Apartments for Rent in Sioux City, IA 51106 with 1 from www.zumper.com Affordable one and two bedroom apartments. Affordable apartments in sioux city ia exist but don’t stay on the market for long. 1709 s maple st sioux city, ia 51106.