Apartments For Rent In Monroe Center Il . See photos, current prices, floor plans, and details for 86 apartments in monroe center, il. On the average rent for a studio apartment in this municipal area is $791, and has a range from $687 to $687. 2136 W Monroe St Chicago, IL, 60612 Apartments for Rent Zillow from www.zillow.com 38 houses rental listings are currently available. Choose from 284 apartments for rent in monroe center, illinois by comparing verified ratings, reviews, photos, videos, and floor plans. The perfect 2 bed apartment is easy to find with apartment guide.