A goal inside the opening minute by Cleveland Taylor ended Lincoln's three-game winning streak and cemented Burton's position in mid-table.
On-loan Brentford winger Taylor followed up his late winner at Torquay on Saturday with a blistering 15-yard volley from a Tom Parkes cross.
The Brewers nearly doubled their lead when Shaun Harrad fired against a post from 15 yards in the 38th minute.
For the Imps, Joe Anderson's 25-yard free-kick hit the inside of the post.
Lincoln City manager Chris Sutton told BBC Lincolnshire:
"We didn't start well enough and you just can't afford to start like that.
"We played some decent stuff but probably didn't pose enough of a threat, especially in the second half when we were decent all the way to the final third but that's when we need to be a bit smarter.
"The players gave everything. I don't think we deserved to lose the game but I'm not sure we did enough to win it. But football's about 90 minutes and you have to be switched on in the first few minutes and the last few."
45:00+2:14 Centre by Joe Anderson, Aaron Webster makes a clearance.
44:32 Unfair challenge on Chris Herd by John McGrath results in a free kick. Joe Anderson produces a strike on goal direct from the free kick.
42:50 Clark Keltie takes the inswinging corner, Headed effort from close range by Adam Watts goes wide left of the target.
42:32 Scott Kerr has an effort at goal from just outside the penalty box which goes wide of the left-hand post.
42:02 Cleveland Taylor gives away a free kick for an unfair challenge on Cian Hughton. Robert Burch restarts play with the free kick.
38:33 Foul by John McGrath on Chris Herd, free kick awarded. Direct free kick taken by Joe Anderson.
37:31 Shaun Harrad produces a shot from just outside the box that bounces off the post.
36:58 Delroy Facey has an effort at goal from close range which goes wide right of the goal.
Correction - 36:04 Unfair challenge on Cian Hughton by Russell Penn results in a free kick. Free kick taken by Clark Keltie.
36:04 Russell Penn gives away a free kick for an unfair challenge on Cian Hughton. Scott Kerr restarts play with the free kick.
35:33 Chris Herd challenges John McGrath unfairly and gives away a free kick. Direct free kick taken by Aaron Webster.
35:03 Adam Watts fouled by Shaun Harrad, the ref awards a free kick. Adam Watts restarts play with the free kick.
32:44 Free kick awarded for a foul by Cleveland Taylor on Nathan Baker. Direct free kick taken by Robert Burch.
32:35 A cross is delivered by Cleveland Taylor, clearance made by Adam Watts.
30:34 John McGrath takes the free kick.
30:34 Booking Scott Kerr is given a yellow card.
30:20 Free kick awarded for a foul by Scott Kerr on Cleveland Taylor.
29:51 Chris Herd takes a shot. Save by Artur Krysiak.
29:29 Steven Kabba sends in a cross, clearance by Cian Hughton.
Correction - 28:30 Foul by Steven Kabba on Scott Kerr, free kick awarded. Free kick taken by Scott Kerr.
28:30 Joe Anderson fouled by Steven Kabba, the ref awards a free kick. Joe Anderson takes the direct free kick.
28:21 The ball is sent over by Aaron Webster, Nathan Baker makes a clearance.
27:04 John McGrath takes the direct free kick.
27:04 Booking Adam Watts goes into the book for unsporting behaviour.
26:54 Free kick awarded for an unfair challenge on Steven Kabba by Adam Watts.
25:15 The ball is delivered by Andrew Corbett.
23:57 Foul by Aaron Webster on Brian Gilmour, free kick awarded. Direct free kick taken by Joe Anderson.
Correction - 20:37 Jacques Maghoma takes a shot. Blocked by Nathan Baker.
20:37 Jacques Maghoma takes a shot. Nathan Baker gets a block in.
19:19 Inswinging corner taken right-footed by Clark Keltie, Adam Watts takes a shot. Save made by Artur Krysiak.
Correction - 18:24 John McGrath challenges Chris Herd unfairly and gives away a free kick. Joe Anderson takes the free kick.
18:24 Free kick awarded for a foul by John McGrath on Chris Herd. Free kick taken by Clark Keltie.
14:50 Jacques Maghoma delivers the ball, clearance made by Nathan Baker.
10:43 Jacques Maghoma gives away a free kick for an unfair challenge on Paul Green. Free kick taken by Clark Keltie.
9:26 Foul by John McGrath on Chris Herd, free kick awarded. Chris Herd restarts play with the free kick.
7:09 Steven Kabba takes a shot. Blocked by Nathan Baker. Corner taken by John McGrath, Nathan Baker makes a clearance.
6:09 John McGrath produces a right-footed shot from just outside the area that goes wide left of the goal.
5:48 The ball is crossed by Chris Herd, clearance by Tom Parkes.
3:58 Russell Penn has an effort at goal from outside the box which goes wide right of the goal.
3:42 The ball is swung over by Paul Green, save by Artur Krysiak.
3:24 Unfair challenge on Chris Herd by John McGrath results in a free kick. Free kick taken by Paul Green.
Correction - 2:43 Short corner taken by Chris Herd from the left by-line.
2:43 Corner taken short by Chris Herd.
Correction - 0:54 Tom Parkes provided the assist for the goal.
Correction - 0:54 GOAL - Cleveland Taylor:Burton Albion 1 - 0 Lincoln City Cleveland Taylor finds the net with a goal from inside the box to the bottom left corner of the goal. Burton Albion 1-0 Lincoln City.
0:54 Assist by Tom Parkes.
0:54 GOAL - Steven Kabba:Burton Albion 1 - 0 Lincoln City A goal is scored by Steven Kabba from inside the area to the bottom left corner of the goal. Burton Albion 1-0 Lincoln City.
Correction - 0:17 Steven Kabba fouled by Joe Anderson, the ref awards a free kick. Free kick taken by Russell Penn.
0:17 Unfair challenge on Steven Kabba by Joe Anderson results in a free kick. John McGrath takes the direct free kick.
0:00 The game begins.
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