Beacon Hill Apartments Boston For Rent . 2021 beacon hill apartments for rent $2,400 ($2.4k) and under; 877 beacon st has rental units starting at $3100. Beacon Hill Apartments for Rent Boston, MA from www.apartments.com This is a 11% increase compared to the previous year. 2021 boston beacon hill apartments $2,600 ($2.6k) and under; View pictures, check zestimates, and get scheduled for a tour of some luxury listings.