Jamie Frost (pictured, above) scored the Clarets’ only goal in the fixture at the Cod Army’s new Training Ground.
The hosts took the lead midway through the first half, before two second half goals saw the game off, despite the visitors’ valiant efforts for an equaliser.
The Clarets had a golden opportunity after just five minutes when Frost picked up a loose ball from a poor clearance, but the striker failed to find the target.
But midway through the half, the hosts fanatically opened the scoring.
A great through ball for Town’s pacy striker was wonderfully finished into the top left corner past Conor Mitchell.
However, five minutes later the Clarets were level with a stunning finish.
Ntumba Massanka flicked on a long ball forward for Frost, who wonderfully half volleyed into the top right corner from 20-yards.
The Clarets were off target with three free kicks, before coming close to turning the game on its head before the break.
Winger Josh Ginnelly went for goal with an ambitious effort from a tight angle, but his volley was wonderfully tipped wide by Fleetwood’s stopper.
However, it was the hosts who regained the advantage five minutes after the restart.
The Clarets failed to clear after a scramble in the box, and a composed strike found the bottom right corner.
Barry Nicholson’s side almost extended their lead two minutes later, but a diagonal strike cannoned out off the crossbar.
The Clarets ushered forward in the remaining 20 minutes, but two chances went amiss.
Renny Smith’s deep ball to the far post found Frost, but his cushioned volley could only find the side netting.
A clever corner routine from Ginnelly was then dummied by Steven Hewitt, for Aiden O’Neill’s to crash a 25-yard shot off the crossbar.
And despite the Clarets’ best efforts Fleetwood killed the game off with 10 minutes to play, when a superb whipped ball from the left was glanced into the far post to kill off any possible comeback.
Burnley: Mitchell; Birch (Bianga 60), Hobson, Wilson, Trialist (Hendrie 60); Ginnelly, Smith (Trialist 70), O’Neill, Hewitt; Massanka, Frost (Dolling 60)