A second half goal from striker Tommy Wright got the Hatters back to winning ways with a gritty victory at Grimsby.
The striker nodded home with 17 minutes left on the clock to give the Town only their third away win of the season.
Saves from Mark Tyler kept the Hatters in front to ensure their first win at Blundell Park since 1998and their first clean sheet in nine games to lift them up to third in the Blue Square Bet Premier.
Brabin made three changes to the side that lost 1-0 at home to Wrexham on Tuesday. Shane Blackett, an injured Keith Keane and Aaron O'Connor
made way for Adam Watkins, Jamie Hand and Wright.
The manager went 4-4-2 with Hand joining Watkins in centre midfield and Wright partnering Stuart Fleetwood in attack.
And it was Fleetwood who had the first chance in what was a bright opening from the Hatters. Playing some patient, tidy stuff, with James Dance at the heart of it down the right flank, Wright found his strike partner whose snap-shot was stopped by James McKeown in the Grimsby goal.
The Town were well on top, playing some nice football on the break and after another right-wing raid by Dance forced a corner, Janos Kovacs - playing his last game of his loan spell from Hereford - saw a firm header stopped by McKeown.
Dance was becoming a real threat to the hosts' right-back Bradley Wood and he again tormented his marker, latching onto a raking cross-field pass from Robbie Willmott and seeing a shot blocked from the edge of the box.
However, Grimsby were slowly edging their way into the game and the Town had Tyler to thank for his first action of the match on 18 minutes when home striker Liam Hearn nutmegged Curtis Osano down the left to drill a low shot goalwards that was turned away by glove from the goalkeeper.
That chance encouraged the home side - a minute later Anthony Elding's half-volley from 22 yards was stopped comfortably by Tyler.
On 24 minutes Watkins was the first man in the book for a challenge on the edge of the area but Michael Coulson's fierce free-kick was blocked by the Town wall.
Back came the Town though, Willmott's cross was almost met by Wright on 27 minutes before Kovacs stretched to head goalwards two minutes that McKeown stooped to stop.
It was end-to-end stuff as both sides went in search of an opener and the Hatters had Jake Howells to thank for being in the right place at the right time to hack clear a Serge Makofo cross with Coulson almost certain to tap home had the ball reached the Grimsby midfielder.
That let off only spurred the Hatters back onto the front foot with a flurry of half-chances as half-time approached.
Watkins saw a shot blocked from the edge of the box by the brave Darran Kempson on 34 minutes and Fleetwood saw a left-foot shot on the turn stopped by the legs of McKeown three minutes later as the Town continued to play some eye-catching football.
The Hatters started the second half like they ended the first - on top - but failed to create a clear-cut opportunity despite their dominance.
Grimsby's threat was sporadic but Tyler had to be alert on 53 minutes to collect Coulson's curling shot from the edge of the box.
Dance, the main tormentor-in-chief in the first half, was fouled on 58 minutes from which Willmott curled over a free-kick but back came Grimsby and a minute later Coulson broke through the middle of the park but his shot from the edge of the box was easy for Tyler.
Watkins flashed over on 63 minutes following Fleetwood's square pass before Tyler had to be aware to turn a firm shot from Hearn around the post as the Mariners broke down the left.
Brabin made his first change on 67 minutes introducing O'Connor for Dance and the Hatters almost broke the deadlock a minute later when Osano's right-wing cross was headed over by Fleetwood from 12 yards.
However the 186 loyal Town fans behind the goal were rewarded on 73 minutes when the Town they took the lead. Hand's lofted ball over the top found O'Connor and Fleetwood racing through and the latter's square ball across goal was bravely headed home by Wright from close range.
Grimsby were upping the pressure in search of an equaliser and Tyler did well to paw away Coulson's free-kick with four minutes left on the clock but that was the last clear cut chance and after five added minute the Town held on to record an excellent victory.
For minute-by-minute anaylsis see below.
Live from Blundell Park
Grimsby Town 0
Luton Town 1 (Wright 73)
FULL-TIME Grimsby 0-1 TOWN! Get in!
90 mins - Three added minutes...
89 mins - 90 seconds left.
87 mins Third change for the Town, Danny Crow on for Fleetwood.
86 mins - Save from Tyler following on-target Coulson free-kick.
85 mins -&nbsp; Grimsby upping it with five minutes left.
80 min - 10 minutes left here at Blundell Park.
78 mins Second change for the Town, Kissock on for Willmott.
76 mins - Eagle free-kick tipped over by Tyler.
73 mins &nbsp;GOAL! Grimsby 0-1 TOWN (Wright) - Hand clps a ball over the top, playing in O'Connor and Fleetwood and the latter crosses for TOMMY WRIGHT to head home from close range with boots flying. Get in!
70 mins - 186 Town fans have made the trip here tonight. Total attendance 3,239.
68 mins - Almost a chance for the Hatters, Osano surging down the right centres for Fleetwood who heads over.
67 mins First change for the Town tonight, Dance off for Aaron O'Connor
65 mins - Almost a chance for the hosts: Hearn doing well down the left, cutting inside and thumping a shot goalwards that Tyler turns behind for a corner.
63 mins - Half a sight of goal for the Hatters as Fleetwood plucks the ball out of the air and feeds Watkins who lets fly with a left-foot shot from just outside the box that flashes over the bar.
59 mins - Surging run through the heart of the Town midfield as Coulson strides through but sends a shot from outside the box into the hands of Tyler.
58 mins - Concern for the Town as Dance goes down injured following a foul 25 yards out. From the resultant free-kick Willmott's curling, dipping effort just goes over.
53&nbsp;mins - Not a lot to talk about but Coulson looks up and curls a shot that is comfortable for Tyler.
46 mins - Oh, and no changes at the break for either side.
46 mins Annnnnnnnnnnd we're off again for the second half as the Town kick-off now shooting towards their 150 or so supporters away to our left. COYH!
HALF-TIME Goalless here at the break. Check back in 15 minutes for the second half updates. COYH.
45 mins - One added minutes here.
37 mins - Another great chance for the Town as Fleetwood holds off his marker, turns and sends a low shot goalwards that is stopped by the legs of McKeown.
34 mins - Back come the Hatters, good play from Willmott and Fleetwood forcing a chance for Watkins who lets fly from 18 yard who sees a shot blocked bravely by Kempson.
32 mins - Almost 1-0 Grimsby as the Town are debted to Howells for clearing Serge Makofo's cross away from Coulson who was sniffing for a tap-in.
29 mins -&nbsp; Another header from Kovacs, stretching to meet a free-kick but his header is saved by McKeown.
27 mins - Back come the Town as a left-wing raid from Willmott almost finds Wright at the near post but the loan striker is denied by a challenge by Coulson.
24 mins - Great chance for the Mariners from a dead-ball situation, Coulson firing&nbsp;a free-kick straight into the Town wall from the edge of the box after Watkins was booked for a foul.
19 mins - Half a sniff for the Mariners as an Elding shot from the edge of the area, saved by Tyler.
18 mins - Chance and it's almost 1-0 Grimsby as Hearn wriggles past Osano down the Town right into the box before firing a low shot from a narrow angle that Mark Tyler has to turn away.
15 mins - The Hatters do look threatening on the break but you feel&nbsp;they need to make their possession count.
11 mins - Great cross-field pass from Willmott picks out Dance who does well to beat his man before striking a shot from 20 yards that he sees blocked before the Town's right winger pounces on a clever pass from Watkins but sees&nbsp;an attempted cross blocked. Encouraging stuff.
6 mins - Still the Hatters press and Kovacs gets up well at the back post to head straight into the arms of the home stopper.
5 mins - Chance and the Town are playing some good stuff and Fleetwood draws a good save from McKeown in the Grimsby goal.
3 mins - The Hatters are lining up with Tyler in goal, Osano at right-back, Howells at left-back, Pilkington and Kovacs at centre-half, Dance right wing, Willmott left wing, Hand and Watkins in the middle of midfield and Fleetwood and Wright up top.
2 mins - Bright start from the Town earlier doors, on the front foot.
1 min &nbsp;Annnnnnd we're off here at Blundell Park as Grimsby get us off and underway. Enjoy the updates.
19:40 HERE THEY COME
The two sides are out on the Blundell Park pitch which looks decent from this view in the press box.
19:35 GO DUTCH
Town will be wearing orange shirts and orange shorts tonight.
19:33 PRESS BOX PREDICTIONS
Andrew Barringer: 1-0 Luton, Simon Pitts: 2-1 Luton, Mike Simmonds: 2-0 Grimsby, James Cunliffe: 1-0 Grimsby.
19:13 THREE CHANGES
Gary Brabin makes three changes to the side that lost 1-0 to Wrexham.
Jamie Hand, Tommy Wright and Adam Watkins replace Keith Keane, Shane Blackett and Aaron O'Connor
. Keane is out nursing a slight knock.
Town: Tyler, Osano, G. Pilkington, Kovacs, Howells, Willmott, Hand, Watkins, Dance, Fleetwood, Wright. Subs: Beckwith, Crow, Kissock, K. Pilkington, O'Connor.
Grimsby: McKeown, Silk, Church, Kempson, Coulson, Disley, Hearn, Makofo, Wood, I'Anson, Elding. Subs: Spencer, Artus, Duffy, Pearson, Eagle.
19:00 WEATHER WATCH
It's not as cold as I thought it was going to be here at Blundell Park. It's not particularly windy...at the moment but we are yards away from the Humber estuary.
The Hatters' defeat to Wrexham on Tuesday disappointed everyone, not least manager Gary Brabin.
The boss spoke yesterday of his frustration and believes a more positive approach in tonight's live televised game at Grimsby will do the trick to eradicate the memory of Tuesday night.
Not that it will be easy - Grimsby go into the game having won their last two home games 5-2.
Traditionally Blundull Park isn't a happy hunting ground for the Hatters, but all you have do to do is believe...
Well, whatever happens tonight and throughout the season, your official website will have everything covered: every step of the way: live, on radio and via social media.
If you can't make the match then we'll have all the goals and incidents as it happens live with the usual news in the run-up to kick-off with team line-ups and plenty of chat as your official website has, as ever, the usual updates keeping you bang up-to-date with all the action - and in a number of ways.
There's none of those boring ball-by-ball "defensive thrown-in taken by Luton left-back" updates as we continue to and bring you an updated and detailed text commentary. This is a great way to keep in touch and has been popular to those supporters not able to get to a computer or a radio as the service is also available and is updated live on our WAP site.
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Enjoy the game.