See all 52 one bedroom apartments currently available for rent in Jefferson County, LA. Check prices, compare amenities, view photos and floor plans, and explore area maps. The cheapest 1 bedroom apartment for rent in Jefferson County, LA has a monthly rent of $696 while the most expensive 1 bedroom apartment has a monthly rent of $1,960. Once you find the perfect 1 bedroom apartment, you can submit your lease application and receive a timely response to it. Residents of Jefferson County, LA apartment buildings listed on RentCafe can also submit online maintenance requests, renew their lease, and pay rent online (where available).