With the win, Hamilton's record improves to 38-24-3-4.
Michael Lambert and Eric Manlow scored in regulation for the Bulldogs. Ryan Bayda and Pat Dwyer recorded goals for the River Rats (32-31-3-2).
After a scoreless overtime period, Mikhail Grabovski and Corey Locke scored in the shootout for the Bulldogs, while Yann Danis turned aside four of five River Rats shooters. Keith Aucoin scored the lone goal in the shootout for Albany.
Danis stopped 17 of 19 shots for the win, while Tyler Weiman stopped 33 of 35 shots in the losing effort.
The Bulldogs were 1-for-6 on the power play, while the River Rats went 0-for-3 with the extra-man.