Brentford ended their run of nine straight away defeats with three first half goals to move off the bottom and hit Blackpool's play-off hopes.
Andy Frampton headed the opener from Joe Keith's corner and then took the free-kick which Neil Shipperley headed on to Jo Kuffour to hit the second.
A minute later Kuffour ran through the defence to slot home the third.
Keeper Nathan Abbey then denied Blackpool until stoppage-time when Scott Vernon headed a consolation.
Blackpool: Evans, Barker, Jackson (Morrell 46), Evatt, Gorkss, Forbes (Gillett 46), Jorgensen (Vernon 69), Fox, Hoolahan, Parker, Burgess.
Subs Not Used: Rachubka, Tierney.
Goals: Vernon 90.
Brentford: Abbey, Wilson, Frampton, Osborne, Tillen, Ide, Pinault (Carder-Andrews 90), Mousinho, Keith, Kuffour (Griffiths 84), Shipperley.
Subs Not Used: Masters, Willock, Brooker.
Goals: Frampton 13, Kuffour 29, 30.
Ref: P Miller (Bedfordshire).