The Clarets made a winning start in their temporary new 'home' as a Dwight McNeil goal earned Michael Duff’s side a second victory in the Professional Development League.
Seventeen-year-old McNeil struck 20 minutes into the second half at Curzon Ashton’s Tameside Stadium as Burnley extended their unbeaten run to three games.
The Clarets are to play a number of games this season at the home of the National League North club.
And they settled in nicely with a gutsy performance to nullify a multi-national Leeds side, defending superbly to help Anders Lindegaard record a second clean sheet in as many appearances as an over-age player in the under-23s.
Leeds - coached by former Villareal number-two Carlos Corberan – had their chances but couldn’t find a way past Lindegaard as the Danish international gained further match sharpness in adding his experience to a hard-working Burnley back four.
The visitors’ best opening of the whole night came after a quarter of an hour and they were ultimately made to pay for the miss.
Former Rayo Vallecano youngster Alex Machuca got free down the right but from his perfect low cross, Republic of Ireland under-19 international Eoghan Stokes lifted his close-range finish over the top.
Stokes had two further openings before the break but again failed to hit the target and punish lapses by the Clarets.
The first came from Tunde Bayode, whose headed back-pass dropped short and gave the Leeds' frontman a shooting chance which he wasted by steering the ball wide.
And then when Lindegaard had to dash out of goal to make a clearance, Stokes could not locate the un-guarded target with an attempted long-range finish.
The Clarets’ only real chance before the break followed their best spell mid-way through the opening 45 minutes.
Bayode showed a nice touch and turn of pace before delivering an excellent ball into the box which Jamie Thomas steered just wide on the volley.
Duff made a change at the break to counter Leeds’ extra man in midfield, with Tinashe Chakwana and Rahis Nabi both coming on and the move paid off.
Chakwana went close 10 minutes into the second half when he met a Khius Metz ball into the near post with a deflected effort which went just wide.
And 10 minutes later the Clarets – always dangerous on the break - did strike to go in front.
The goal was a reward for persistence and the determination to stay in the contest as McNeil was in the right place to capitalise on a defensive mix-up and slot home his first goal at this level after his initial burst into the box had been seemingly stopped until a miscued clearance landed back at the teenager's feet.
Anders Lindegaard gave a commanding second-half performance
Nabi then almost got in on the act as he connected with a poor punch from Leeds keeper Will Huffer but his first-time effort went just over the bar.
And the former West Brom youngster had another late chance to kill the game off after Chakwana had again stretched the visitors defence.
Nabi was unable to beat Huffer from 20 yards and the lively Chakwana also failed to convert a close-range effort in stoppage time from McNeil’s low cross.
But despite failing to gain the cushion of a second goal, the Clarets stood firm at the other end as they did enough to record a first win in five league games and continue their climb an upward curve.
Burnley: Lindegaard, Birch, Flowers, Koiki, Bayode, Howarth, N’Guessan (Nabi, ht), McNeil, Metz, Thomas (Chakwana ht). Substitutes: Stone, Wood, Clarke.
Booked: McNeil, Flowers, Chakwana, Bayode
Leeds United: Huffer, P McKay (Temenuzhkov 81), O’Connor, Kitching, Hosannah, Shackleton, Rey, Machuca (Siddiki 86), Gomes, J McKay, Stokes (Pearce 76). Substitutes: Miazek, Rodriguez.
Booked: Kitching, Rey
Referee: Alex Kirkley