Paul Willis, Kyle Wilkie, Blair Henderson and David Gold all got on the scoresheet for the visitors to Bayview Stadium as Berwick closed the gap on the final promotion playoff spot to just four points.
Willis came close with an effort from the edge of the box shortly before he opened the scoring in the 14th minute, firing home from 20 yards after a throw-in had dropped to him.
The goalscorer almost turned provider three minutes later when his corner found Andrew Russell at the back post, but the striker could not keep his effort down.
Jonathan Fairbairn, Paul Currie and Wilkie all came close before the half was out, but they were within inches of going into the break level when Derek Riordan's effort cannoned off the bar in the closing stages.
The visitors finally had their second goal seven minutes after the restart when Wilkie met Russell's cross to plant home a header and claim his first Berwick goal.
Henderson and Russell both threatened to get a third around the hour mark, but Riordan gave Berwick another warning shot moments later when his free kick was saved by Michael Andrews.
Colin Cameron's side killed things off once and for all with 20 minutes of the match remaining as Henderson took Currie's pass in his stride before coolly slotting home.
Indeed, Berwick restored their three-goal advantage through Gold in the closing stages to climb to seventh in the table, just four points behind fourth-placed East Fife with a game in hand.