Jordan Rhodes scored for the second successive game as Huddersfield picked up their first win on their return to the Championship.
Joel Lynch headed home a seventh-minute opener before Rhodes - who scored a late equaliser against Nottingham Forest on Tuesday - scored from inside the area just before the hour.
Ross Wallace had Burnley's best chance with a second-half free kick.
It was Huddersfield's first home win over Burnley for 56 years.
- Scored 40 goals in all competitions last season.
- Eight goals in eight appearances for Scotland Under 21s
- Grabbed a goal in his first start for the senior Scotland side in a 3-1 win against Australia on 15 August.
- Has two Championship goals from two appearances this season.
The home side were good value for the victory, although they took the lead in somewhat controversial circumstances.
Oliver Norwood's corner was headed in by Lynch but Burnley immediately remonstrated with the officials, adamant that Joseph Mills had cleared off the line. However, the goal stood.
Rhodes, who scored 40 goals in all competitions last season, twice went close after that, while Burnley had the ball in the back of the net on the stroke of half-time, only for David Edgar's effort to be ruled out for offside.
The three points were secured for Huddersfield, though, in the 58th minute when Rhodes rifled home from 12 yards with an effort that gave Burnley goalkeeper Lee Grant no chance.
Huddersfield boss Simon Grayson: "We aren't going to get carried away because we are only three games in. But we have come up against three established teams and done well.
"The players showed a positive attitude and the supporters back us.
"We never let them have two minutes on the ball and that is what you have to do against the top teams."
Burnley boss Eddie Howe: "For the majority of the game I thought we controlled possession, but in the final third we weren't ourselves and in both boxes I thought we were a bit of a disappointment.
"In the past two away games we've lost them both when we could have definitely picked up points in both.
"The reality is we haven't and we're disappointed in that, but I don't think we have been outplayed or outclassed. It's just a case of being a little bit better than we are and we'll endeavour to do that."
Live Text Commentary
Full Time The match has reached full-time.90:00 +3:42
The assistant referee flags for offside against Charlie Austin. Indirect free kick taken by Joel Lynch.89:49 Substitution
Substitution Alex MacDonald on for Junior Stanislas.85:05
The referee blows for offside. Alex Smithies takes the direct free kick.82:26 Substitution
Substitution Paul Dixon goes off and Anthony Gerrard comes on.79:29
Ross Wallace takes a shot. Blocked by Oliver Norwood. Outswinging corner taken right-footed by Junior Stanislas.77:21
Oliver Norwood gives away a free kick for an unfair challenge on Chris McCann. Ross Wallace has a direct shot on goal from the free kick.76:02 Substitution
Substitution James Vaughan leaves the field to be replaced by Lee Novak.76:02
Daniel Ward takes a shot.75:23
Inswinging corner taken left-footed by Ross Wallace from the right by-line, Paul Dixon makes a clearance.74:52
Outswinging corner taken by Junior Stanislas, Peter Clarke manages to make a clearance.72:21
Adam Clayton takes the direct free kick.72:21 Substitution
Substitution (Burnley) makes a substitution, with Keith Treacy coming on for Joseph Mills.72:21
Free kick awarded for a foul by Jason Shackell on Adam Clayton.70:49
Free kick awarded for a foul by Oliver Norwood on Kieran Trippier. Kieran Trippier takes the direct free kick.67:26
Ross Wallace has an effort at goal from outside the area which goes wide right of the goal.66:33
Charlie Austin has an effort at goal from outside the penalty area which goes wide right of the goal.65:25
Corner from the left by-line taken by Junior Stanislas, save by Alex Smithies.63:16 Substitution
Substitution Sam Vokes goes off and Michael Duff comes on.62:37
Corner taken right-footed by Oliver Norwood, clearance made by Charlie Austin.
Corner taken right-footed by Junior Stanislas from the left by-line, clearance by James Vaughan.57:13 Goal scored
Goal! - Jordan Rhodes - Huddersfld 2 - 0 Burnley Jordan Rhodes grabs a goal from inside the box to the top right corner of the goal. Huddersfield 2-0 Burnley.56:40
Free kick awarded for an unfair challenge on James Vaughan by Joseph Mills. Free kick taken by Oliver Norwood.55:14
Oliver Norwood gives away a free kick for an unfair challenge on Chris McCann. A cross is delivered by Kieran Trippier, Charlie Austin takes a shot. Save by Alex Smithies.52:34
Adam Clayton challenges Joseph Mills unfairly and gives away a free kick. Free kick taken by Junior Stanislas.51:39
The ball is crossed by Daniel Ward.50:32
Jordan Rhodes is caught offside. Jason Shackell restarts play with the free kick.49:09
Keith Southern takes a shot. Dean Marney gets a block in. Corner from right by-line taken by Oliver Norwood.47:31
Dean Marney fouled by Jordan Rhodes, the ref awards a free kick. Direct free kick taken by Dean Marney.46:42
The referee blows for offside against James Vaughan. Indirect free kick taken by Lee Grant.45:01
The game restarts for the second half.45:00 +2:05 Half time
Half Time The referee calls an end to the first half.44:20
Jack Hunt challenges Charlie Austin unfairly and gives away a free kick. Junior Stanislas takes the free kick. The assistant referee signals for offside against Sam Vokes. Indirect free kick taken by Alex Smithies.43:46
Jack Hunt challenges Dean Marney unfairly and gives away a free kick. Lee Grant takes the free kick.41:43
Adam Clayton takes a shot. Corner taken by Oliver Norwood, Headed effort from inside the penalty area by James Vaughan misses to the right of the target. Jason Shackell gets a block in.39:51
Centre by James Vaughan.37:45
Direct free kick taken by Kieran Trippier.37:45 Booking
Booking Booking for Adam Clayton for unsporting behaviour.37:29
Unfair challenge on Joseph Mills by Adam Clayton results in a free kick.33:00
Corner taken right-footed by Junior Stanislas to the near post, Jordan Rhodes makes a clearance.31:58
The offside flag is raised against James Vaughan. Indirect free kick taken by Lee Grant.31:18
Dean Marney gives away a free kick for an unfair challenge on Adam Clayton. Free kick taken by Oliver Norwood.30:37
Charlie Austin challenges Joel Lynch unfairly and gives away a free kick. Alex Smithies takes the indirect free kick.28:15
Free kick awarded for a foul by Adam Clayton on Joseph Mills. Junior Stanislas delivers the ball from the free kick right-footed from left wing.24:42
Adam Clayton takes a shot. Blocked by Dean Marney. Corner taken short by Oliver Norwood, Jordan Rhodes takes a shot. Save made by Lee Grant.22:04 Substitution
Substitution Sean Scannell goes off and Daniel Ward comes on.20:05
Junior Stanislas takes a short corner. The referee blows for offside against Charlie Austin. Alex Smithies takes the indirect free kick.17:56
Sam Vokes is caught offside. Peter Clarke restarts play with the free kick.15:00
Outswinging corner taken right-footed by Oliver Norwood from the right by-line, free kick awarded for a foul by Joel Lynch on David Edgar. Lee Grant restarts play with the free kick.14:04
Sean Scannell takes a shot.12:25
Free kick awarded for a foul by Dean Marney on Joel Lynch. Alex Smithies takes the free kick.11:11
Charlie Austin is flagged offside by the assistant referee. Alex Smithies takes the free kick.10:26
Foul by Keith Southern on Chris McCann, free kick awarded. Jason Shackell takes the direct free kick.9:56
The ball is crossed by Sam Vokes, save made by Alex Smithies.7:20
Corner taken by Junior Stanislas, save made by Alex Smithies.6:14
Oliver Norwood provided the assist for the goal.6:14 Goal scored
Goal! - Joel Lynch - Huddersfld 1 - 0 Burnley Joel Lynch finds the net with a headed goal from deep inside the penalty area. Huddersfield 1-0 Burnley.5:29
James Vaughan takes a shot. Blocked by Jason Shackell. Corner taken right-footed by Oliver Norwood from the right by-line to the near post,3:51
Chris McCann takes a shot. Blocked by Joel Lynch. Corner from the left by-line taken by Dean Marney, clearance by Jack Hunt.1:51
The ball is swung over by Paul Dixon.0:22
Kieran Trippier challenges James Vaughan unfairly and gives away a free kick. Oliver Norwood takes the direct free kick.0:00
The game kicks-off.
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