Harry Limb scored a classy winner as the Development Squad secured their second warm-up victory under new coach Michael Duff.
Teenage striker Limb curled in a delightful effort from 20 yards just before half-time to claim his first pre-season goal.
The Clarets started on the front foot and came close when Mark Howarth whipped in a teasing free-kick which Alex Whitmore nodded just wide.
Albion – newly promoted back to the Evo Stik Northern Premier League top flight - then came close as Matthew Devine hit a long ball up field towards Steven Tames who found space in the area before firing an effort inches wide of Conor Mitchell's goal.
The home side enjoyed a brief attacking spell and had a great opportunity to take the lead when Rob Hopley teed up Steven Tames, whose shot was blocked.
Burnley hit back to push for the opener and looked to have broken the deadlock until Calvin Hare denied Khius Metz with a fine save.
However, on the stroke of half-time the young Clarets did take the lead as a counter-attack sparked by Howarth released former Wisbech Town youngster Limb, 17, who perfectly picked out the top corner from just outside the penalty area.
Duff’s side maintained the moment after as the break as skipper Aiden O'Neil unleashed a stinging shot which fizzed just wide of the post.
And despite Witton's best efforts to push for an equaliser, the Clarets looked the most likely to get the second goal as Luke Hendrie burst forward down the right before finding Jamie Thomas who was thwarted by the on-rushing Hare.
And Burnley created one last chance came as substitute Christian N'Guessan weaved in and out of the Albion midfield before brilliantly lifting the ball over the defence for Thomas, who turned and shot wide.
The Development Squad’s next outing takes them to Staffordshire-based Brocton on Friday night for a fixture which was part of the agreement that brought defender Harry Flowers to Turf Moor from the Midland League side last season.
And the non-leaguers then proved the source of another Clarets’ recruit this summer as goalkeeper Aidan Stone followed Flowers to Burnley.
Burnley: Mitchell, Hendrie, Whitmore (Birch 66), Flowers, Trialist (Koiki 45), Leitch (N'Guessan 66), Howarth (Nabi 66), Chakwana, O'Neil, Metz (Wood 45), Limb (Thomas 56). Substitute: Calderbank.