The tenure of new Brentford boss Leroy Rosenior got off to a winning start courtesy of an Oli Skulason strike.
Rosenior, who took over the club during the summer, had to wait until the 74th minute for the eventual winner.
Midfielder Skulason pounced in a busy goalmouth to sidefoot home after the Bees had improved after the break.
Blackpool were frustrated by Bees keeper Clark Masters in the first half while Keith Southern's diving header came back off the inside of the post.
Brentford: Masters, O'Connor, Frampton, Heywood, Charles, Brooker (Tillen 63), Skulason, Pinault, Rhodes, Willock, Kuffour (Tomlin 52).
Subs Not Used: Moore, Osborne, Ide.
Booked: Charles, Brooker.
Goals: Skulason 74.
Blackpool: Evans, Joseph, Barker, Jackson, Tierney (Coid 75), Forbes, Southern, Fox, Prendergast (Hoolahan 80), Vernon (Graham 68), Parker.
Subs Not Used: Jones, Evatt.
Booked: Prendergast, Fox.
Ref: P Joslin (Nottinghamshire).