Looking for a cheap apartment for rent in Stoughton, WI? With RENTCafé, finding an affordable apartment in Stoughton, WI has never been easier. We feature 1 low-priced rental directly from property managers, with rents lower than the Stoughton, WI average. What is a cheap rent in Stoughton, WI? The average apartment rent in Stoughton is $784 per month so any rental south of $627 would be considered cheap here. Size matters though, so if you are in a market for a studio, expect to pay around $466 per month. If you’re looking to upgrade to a 1-bedroom apartment you’ll pay around $550, while a cheap 2-bedroom apartment will cost you about $699 per month. If you’re looking to rent in the cheapest Stoughton neighborhood, check out the rentals in Fitchburg, where the average rent is $1,016/month.