New boys Daniel Nardiello and Mark Stallard earned Barnsley their first home league win since mid-November.
Dean Gorre slipped the ball through to Nardiello in the area and he produced a neat finish for the Tykes' first.
Stallard increased Barnsley's lead when Nardiello collected Mike Flynn's misplaced pass, advanced into the box and squared to the forward who turned and slotted home.
Nardiello sealed his brace when he fired in following a Peter Handyside free kick, but the home side rarely threatened.
Barnsley: Caig, Austin, Handyside, Ireland, Kay, Betsy, Monk,
Crooks, Gorre, Nardiello, Stallard. Subs: Beresford, Burns,
Lumsdon, O'Callaghan, Rankin.
Blackpool: Barnes, Richardson, Flynn, Elliott, Evans, Bullock,
Dinning, McMahon, Coid, Taylor, Sheron. Subs: Walker, Blinkhorn,
Burns, Wiles, Edge.
Referee: I Williamson (Berkshire).