Andy Morrell scored the game's only goal to ensure 10-man Blackpool stayed in the play-off places and dented Yeovil's hopes of automatic promotion.
The hosts were unlucky not to take the lead after Marcus Stewart had an overhead kick blocked on the line, before seeing a header hit the bar.
But Blackpool showed more intent after the break and they grabbed the lead when Morrell cracked in a low drive.
The visitors had Shaun Barker sent off for a second booking but they held on.
Yeovil: Mildenhall, Forbes, Skiverton, Guyett (Rooney 66), Martin Cranie, Davies, Cohen, Kalala, Law (Brittain 79), Gray (Morris 85), Stewart.
Subs Not Used: Sweeney, Rose.
Booked: Gray, Forbes.
Blackpool: Rachubka, Barker, Evatt, Gorkss, Coid, Forbes (Gillett 80), Jorgensen, Fox, Hoolahan (Jackson 63), Vernon (Parker 73), Morrell.
Subs Not Used: Evans, Bean.
Sent Off: Barker (59).
Goals: Morrell 57.
Ref: P Armstrong (Berkshire).