Lincoln recorded their first win under Gary Simpson thanks to Alan Power's first-half penalty against Southport.
Power scored after Aaron Chalmers fouled Jamie Taylor in the area.
Southport had a great chance to level when Paul Farman fouled Shaun Whalley in the box, but the keeper redeemed himself by saving Whalley's spot-kick.
Both sides ended the game with 10-men after Imps striker Vadaine Oliver and visiting defender Neill Byrne saw red for an off-the-ball incident.
VIEW FROM THE DRESSING ROOM
Lincoln City manager Gary Simpson told BBC Radio Lincolnshire:
"We had to stand up to them and to keep a clean sheet was tremendous. I thought we got a good shift out of everybody. We're not in a good position so that's what we're going to need.
"We might not have as much ability as one or two teams in the division but we can give our all and that's what we did today.
"I thought the back four were tremendous, they were solid and the two in front of them were solid but from there we tried to be more attacking because we were at home.
"I'd watched Southport and I knew they were big and strong and good from set plays so it was a case of finding our character, our strength and our desire."
Live Text Commentary
Full Time The final whistle goes and the game is over.90:00 +5:02
Andy Owens takes a shot. Comfortable save by Paul Farman.90:00 +3:54
Direct effort from the free kick comes in from Tony Diagne.90:00 +3:54 Booking
Booking Liam Willis receives a caution.90:00 +3:29
Liam Willis concedes a free kick for a foul on Craig Hobson.87:17
Free kick awarded for a foul by Jake Sheridan on Shaun Whalley. Shaun Whalley takes the direct free kick.82:48
Shaun Whalley has an effort direct from the free kick, save made by Paul Farman. Corner taken by Karl Ledsham, Andrew Boyce makes a clearance. Inswinging corner taken from the right by-line by Karl Ledsham.82:48 Substitution
Substitution Craig Hobson joins the action as a substitute, replacing Alan Power.82:48
Unfair challenge on Andy Owens by Andrew Boyce results in a free kick.81:06 Dismissal
Dismissal Red card for Neill Byrne.80:30 Dismissal
Dismissal Vadaine Oliver shown a red card.75:35 Substitution
Substitution Steven Tames on for Sean Clancy.72:37 Substitution
Substitution Jake Jones goes off and Adam Smith comes on.71:26
Jake Jones gives away a free kick for an unfair challenge on Godfrey Poku. James Smith takes the direct free kick.69:35 Substitution
Substitution Liam Willis joins the action as a substitute, replacing Aaron Chalmers.67:54
Free kick awarded for a foul by Vadaine Oliver on James Smith. Shaun Whalley takes the free kick.66:22
Short corner worked by Sean Clancy. Corner taken by Sean Clancy from the right by-line.63:00
Free kick taken by Shaun Whalley.63:00 Substitution
Substitution Chris Almond comes on in place of Scott Kay.63:00 Substitution
Substitution Jake Sheridan on for Jamie Taylor.
Booking The referee books Jake Jones for unsporting behaviour.62:50
Jake Jones challenges Aaron Chalmers unfairly and gives away a free kick.57:09
Sean Clancy takes a shot. Blocked by Tom Miller. Corner from left by-line taken by Shaun Whalley.50:17
Aaron Chalmers concedes a free kick for a foul on Paul Farman. Paul Farman takes the free kick.49:34
Corner taken right-footed by Shaun Whalley from the left by-line, save by Paul Farman.45:57
Vadaine Oliver concedes a free kick for a foul on James Smith. Direct free kick taken by Shaun Whalley.45:01
The referee blows his whistle to start the second half.45:00 +1:25 Half time
Half Time The ref blows to end the first period.45:00 +1:11
Paul Farman restarts play with the free kick.45:00 +1:11 Booking
Booking Godfrey Poku receives a caution.45:00 +0:41
Godfrey Poku gives away a free kick for an unfair challenge on Jake Jones.44:41
Jamie Taylor is ruled offside. Tony McMillan takes the free kick.43:54
Neill Byrne has a headed effort at goal from deep inside the area missing to the right of the goal.43:22
Mamadou Fofana concedes a free kick for a foul on Andy Owens. Direct free kick taken by Shaun Whalley.41:25
Shaun Whalley takes the inswinging corner, clearance made by Mamadou Fofana. Sean Clancy takes a shot. Fantastic save by Paul Farman.40:17
Shot from just outside the penalty area by Shaun Whalley misses to the left of the target.38:48
Foul by Jake Jones on Godfrey Poku, free kick awarded. Free kick taken by Tony McMillan.36:58
Jamie Taylor takes a shot from just outside the penalty area which clears the crossbar.33:05
Outswinging corner taken by Alan Power.31:52
Scott Kay restarts play with the free kick. The assistant referee signals for offside against Karl Ledsham. Paul Farman takes the indirect free kick.31:52 Booking
Booking The referee shows Tom Miller a yellow card.31:09
Shaun Whalley fouled by Tom Miller, the ref awards a free kick.29:51
Foul by Andy Owens on Mamadou Fofana, free kick awarded. Paul Farman takes the free kick.28:39
Corner taken by Karl Ledsham from the right by-line, save by Paul Farman.27:07
Inswinging corner taken left-footed by Karl Ledsham from the right by-line.25:33
Unfair challenge on Andy Owens by Andrew Boyce results in a free kick. Sean Clancy restarts play with the free kick.25:12
Todd Jordan gives away a free kick for an unfair challenge on Godfrey Poku. Tony McMillan takes the free kick.23:08
Free kick awarded for an unfair challenge on Vadaine Oliver by Neill Byrne. Tony Diagne takes the direct free kick.22:27
Effort from a long way out by Godfrey Poku goes wide right of the target.18:49 Penalty
A fantastic save by Paul Farman from penalty by Shaun Whalley. Lincoln City 1-0 Southport.18:01
Unfair challenge on Shaun Whalley by Paul Farman results in a Penalty.16:50
Inswinging corner taken by Alan Power from the left by-line played to the near post, Andrew Boyce takes a shot. James Smith gets a block in.14:54
Free kick awarded for a foul by Jake Jones on Shaun Whalley. Sean Clancy takes the free kick.13:21 Goal scored
Goal! - Alan Power - Lincoln 1 - 0 Southport Power penalty scored by Alan Power. Lincoln City 1-0 Southport.12:09
Penalty awarded for a foul by Aaron Chalmers on Jamie Taylor.10:59
Godfrey Poku gives away a free kick for an unfair challenge on Mamadou Fofana. Tom Miller takes the free kick.9:27
Corner taken right-footed by Alan Power from the left by-line, Andy Owens manages to make a clearance.7:34
Godfrey Poku gives away a free kick for an unfair challenge on Jake Jones. Direct free kick taken by Alan Power. Outswinging corner taken by Alan Power, Jamie Taylor gives away a free kick for an unfair challenge on Tony McMillan. Tony McMillan takes the direct free kick.5:03
The assistant referee flags for offside against Jake Jones. Tony McMillan takes the free kick.2:40
Corner from the right by-line taken by Karl Ledsham, Andrew Boyce makes a clearance. Corner taken left-footed by Karl Ledsham from the right by-line, clearance by Andrew Boyce. Corner taken right-footed by Karl Ledsham from the right by-line, Foul by Andy Owens on Paul Farman, free kick awarded. Direct free kick taken by Paul Farman.0:00
The game kicks-off.
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