See all 2 one bedroom apartments currently available for rent in Dubuque County, IA. Check prices, compare amenities, view photos and floor plans, and explore area maps. The cheapest 1 bedroom apartment for rent in Dubuque County, IA has a monthly rent of $960 while the most expensive 1 bedroom apartment has a monthly rent of $1,025. Once you find the perfect 1 bedroom apartment, you can submit your lease application and receive a timely response to it. Residents of Dubuque County, IA apartment buildings listed on RENTCafé can also submit online maintenance requests, renew their lease, and pay rent online (where available).