Jon Shaw's first goal since the opening day of the season secured victory for Luton at Lincoln.
The Hatters had lost their previous two away games, but went ahead when Imps goalkeeper Paul Farman palmed Andre Gray's cross into his own net.
And Shaw doubled the lead when he headed home Stuart Fleetwood's free-kick after being left unmarked.
Jamie Taylor, who had earlier forced a smart save from Mark Tyler, did pull a goal back with a powerful effort.
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Lincoln City manager David Holdsworth told BBC Radio Lincolnshire:
"The margins were tiny. I'm not going to question Paul (Farman), he's been a fantastic goalie for us and then straight after half-time a slight adjustment from the defender has cost us but that defender's only been here a day so I won't have a go at Peter Gilbert.
"He tried to take responsibility by picking a man up. Those little things have been the costly ones.
"I thought we played some very good football. We kept the ball on the floor, we didn't have a target man so we tried a different format today and created some good chances.
"When you play against a good side you need everyone up for it and I thought most of our players were up for it and put some solid performances.
"Credit to the opposition for taking advantage but you can't give soft goals away."
Live Text Commentary
Peter Gilbert is penalised for handball and concedes a free kick. Alex Lawless takes the direct free kick.90:00 +1:46
Free kick awarded for a foul by Stuart Fleetwood on David Morgan. Paul Farman restarts play with the free kick.90:00 +0:28 Substitution
Substitution (Lincoln City) makes a substitution, with Jake Sheridan coming on for Tom Miller.89:40 Booking
Booking The referee books Yaser Kasim for unsporting behaviour.89:11
Stuart Fleetwood takes a short corner.87:07 Full time
Full Time The referee signals the end of the game.83:14
Corner taken by Nicky Nicolau from the right by-line played to the near post, Simon Ainge makes a clearance.82:09
Simon Ainge gives away a free kick for an unfair challenge on Conner Robinson. Nicky Nicolau crosses the ball in from the free kick.80:53
Foul by Connor Essam on Colin Larkin, free kick awarded. Nicky Nicolau restarts play with the free kick.78:54
Corner from right by-line taken by Nicky Nicolau.78:54 Substitution
Substitution Conner Robinson joins the action as a substitute, replacing Peter Bore.76:59
Stuart Fleetwood is ruled offside. Paul Farman takes the free kick.76:27
Corner taken left-footed by Nicky Nicolau from the left by-line, clearance made by Mark Tyler.75:22
Free kick taken by Daniel Gray.75:22 Substitution
Substitution Andre Gray goes off and Yaser Kasim comes on.75:22
Simon Ainge gives away a free kick for an unfair challenge on Jamie Taylor.73:37
Stuart Fleetwood is flagged offside by the assistant referee. Free kick taken by Paul Farman.73:01
David Morgan produces a right-footed shot from outside the penalty box and misses wide left of the target.70:43
Free kick awarded for a foul by Simon Ainge on Jamie Taylor. The free kick is swung in left-footed by Nicky Nicolau. The referee blows for offside. Mark Tyler takes the free kick.67:35
Short corner taken by Nicky Nicolau, Jon Shaw manages to make a clearance.
Lathaniel Rowe-Turner fouled by Peter Bore, the ref awards a free kick. Indirect free kick taken by Mark Tyler.63:06
Effort from outside the box by JJ O'Donnell goes wide right of the target.62:42
David Morgan takes a shot. Save by Mark Tyler.59:01 Substitution
Substitution (Lincoln City) makes a substitution, with Colin Larkin coming on for Mamadou Fofana.57:50 Goal scored
Goal! - Jamie Taylor - Lincoln 1 - 2 Luton Jamie Taylor scores a goal from just outside the penalty box to the top right corner of the goal. Lincoln City 1-2 Luton.56:21
Adam Smith is caught offside. Mark Tyler takes the indirect free kick.51:38
The offside flag is raised against Stuart Fleetwood. Tom Miller takes the indirect free kick.51:11
Effort from outside the area by JJ O'Donnell goes wide right of the goal.47:14
The assist for the goal came from Stuart Fleetwood.47:14 Goal scored
Goal! - Jon Shaw - Lincoln 0 - 2 Luton Jon Shaw grabs a headed goal from inside the six-yard box. Lincoln City 0-2 Luton.46:43
Free kick awarded for a foul by Daniel Gray on JJ O'Donnell. Stuart Fleetwood takes the free kick,45:03 Substitution
Substitution Lathaniel Rowe-Turner on for Jake Robinson.45:03 Substitution
Substitution Scott Rendell goes off and Jon Shaw comes on.45:01
The second half kicks off.45:00 +1:11 Half time
Half Time The whistle is blown to end the first half.43:03 Booking
Booking Alex Lawless booked for unsporting behaviour.42:43
Alex Lawless gives away a free kick for an unfair challenge on Peter Bore. Nicky Nicolau takes the indirect free kick.41:59
Free kick awarded for a foul by Adam Smith on Andre Gray. Connor Essam takes the free kick.40:33
Shot by Jamie Taylor. Mark Tyler makes a save. Corner taken left-footed by Nicky Nicolau from the left by-line, clearance made by Scott Rendell.40:03
Free kick awarded for an unfair challenge on Tom Miller by Scott Rendell. Paul Farman takes the free kick.39:09
Free kick awarded for an unfair challenge on Andre Gray by Tom Miller. Free kick taken by Jake Howells.36:39
Mamadou Fofana is ruled offside. Mark Tyler restarts play with the free kick.35:54 Booking
Booking The referee cautions Andre Gray for unsporting behaviour.34:46
The ball is crossed by Stuart Fleetwood.30:45
Foul by Andre Gray on Peter Gilbert, free kick awarded. Indirect free kick taken by Paul Farman.29:26
Inswinging corner taken from the right by-line by Jake Howells, save by Paul Farman.27:51 Goal scored
Goal! - Paul Farman - Lincoln 0 - 1 Luton Paul Farman concedes an unfortunate own goal. Lincoln City 0-1 Luton.23:41
Effort from just outside the area by Adam Smith goes over the target.22:10
Inswinging corner taken by Nicky Nicolau from the right by-line. Unfair challenge on Andre Gray by David Morgan results in a free kick. Mark Tyler takes the free kick.21:36
Corner from the right by-line taken by Adam Smith, clearance by Mark Tyler.19:35
Adam Smith takes a shot. Corner taken left-footed by Nicky Nicolau to the near post, Andre Gray manages to make a clearance. Simon Ainge manages to make a clearance.18:12
Outswinging corner taken by Nicky Nicolau, Simon Ainge makes a clearance.17:13
Peter Gilbert challenges Andre Gray unfairly and gives away a free kick. Alex Lawless takes the direct free kick.16:44
Connor Essam concedes a free kick for a foul on Jamie Taylor. Nicky Nicolau takes the direct free kick.16:04
Free kick awarded for a foul by David Morgan on JJ O'Donnell. Connor Essam restarts play with the free kick.14:48
Peter Gilbert challenges Andre Gray unfairly and gives away a free kick. Direct free kick taken by Ronnie Henry.13:47
Adam Smith has a shot on goal from outside the box which misses right.11:58
The assistant referee flags for offside against Jake Robinson. Paul Farman takes the indirect free kick.10:50
Foul by Peter Bore on JJ O'Donnell, free kick awarded. Free kick taken by Jake Howells.9:26
Stuart Fleetwood gives away a free kick for an unfair challenge on Tom Miller. Indirect free kick taken by Paul Farman.8:54
The ball is delivered by Adam Smith.7:35
Ronnie Henry challenges Adam Smith unfairly and gives away a free kick. Free kick taken by David Morgan.7:11
The referee penalises Jamie Taylor for handball. Free kick taken by Mark Tyler.5:19
The referee blows for offside. Mark Tyler takes the free kick.4:17
David Morgan produces a right-footed shot from 35 yards and missed to the left of the target.1:48
Effort from inside the area by Stuart Fleetwood misses to the right of the goal.0:56
Shot from just outside the box by Alex Lawless goes over the target.0:00
The game kicks-off.
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