St. Francis (2-4) played catch up all game long, and pulled within 70-69 following Ben Mockford's 3-pointer with 33 seconds to play, but the Great Danes (7-2) hit 7 of 8 free throws after to earn the win.
Albany, which is now 5-0 all-time against the Terriers, opened with an 18-0 run that spanned over 10 minutes.
The Terriers pulled within 25-22 on Dre Calloway's layup with 4:37 left, but went into another lull and entered halftime down 35-26.
The Terriers tied the game at 41-all on Kevin Douglas' layup with 16:12 left in the second half, but never took the lead.
Travis Nichols led the Terriers with 21 points on 8-of-12 shooting, while Mockford hit six 3-pointers for 18 points.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.