Luton hit the bar and made a string of good chances against the League leaders, but could not find a way through.
They might have had four or five as Currie, Bell, Andrew and Coyne all came close or pulled one of a series of good saves from the Carlisle keeper.
The Cumbrians looked neat and tidy at the back, sharp on the break and might have nicked it themselves if Brill hadn't made some good stops of his own.
The best chance of the half fell to Currie three yards out with the keeper nowhere, but his shot was blocked on the line.
The only change to the Luton line-up was Richard Jackson playing at left back in place of the suspended Alan Goodall. Drew Talbot passed a fitness test after his virus but was only risked on the bench.
Luton made the better chances throughout the first half. On six minutes when Bell whipped over a stinging cross from the right touchline with his left foot that beat the keeper but just flew past the left hand post.
Five minutes later, Bell found Currie on the left and his low cross beat everyone and was turned behind for a corner with Edwards just unable to reach the ball.
The corner was met by Bell and came back to the keeper off the crossbar, with many in the crowd thinking that it had crossed the line.
Bell was getting past Aranalde but his crosses would not fall to Luton players.
Andrew as lone striker was winning a lot of ball in the air and he set up Currie for the best chance of the half.
He was first to a ball into the box from Bell and guided it past the keeper to Currie in space three yards out, but with the keeper nowhere, Raven managed to get a block in on the line.
Edwards tried a spectacular dipping volley from 30 yards after Andrew flicked the ball on to him on 36 minutes but with the keeper not moving, the ball landed just wide of the post.
Then on 43 minutes Edwards flicked Robinson's pass up, turned and shot all in one move, but the ball flew wide.
For their part Carlisle managed to threaten after they created their first chance on 18 minutes when Garner got down the left and fed the ball across to Gall coming in from the right in space. But just when he looked to have a clear run on goal, he let the ball run under his foot and was closed down.
A minute later, Hackney's cross from the left found Garner with a powerful header that Brill did well to tip over.
Aranalde's low shot from 25 yards, fell to Garner in the box, but his first touch let the ball get away from him and it was cleared.
The half ended with Carlisel getting a dangerous free kick three yards out of the box on the left, which Murphy fired in low and Brill had to be sharp to get down to his left and push it away.
It was a reminder that when you are on top you have to take your chances.
The second half carried on in the same way. Bell cut inside on 57 minutes and fired a fierce drive from 20 yards that the keeper dived to his right to punch away.
Andrew picked up a low pass in from Coyne on the hour, twisted and turned to make room and then fired a great shot that the keeper did brilliantly to turn over at full stretch.
Carlisle had a rare shot at goal on 68 minutes when Garner drove fiercely from distance and Brill did well to parry the ball away with both hands.
Then Coyne headed a Currie corner at the far post that looked to be heading into the top corner until the keeper got across to palm it behind.
Andrew continued to hustle well and won the ball on halfway then almost found Bell with a fine raking cross-field pass.
Again Coyne came close when he hooked Bell's free kick from the left and it looked to be going in until Livesey reached it and cleared off the line.
Carlisle almost scored twice in a minute when Jackson blocked a Gall drive and then Brill had to push away a Garner header on 79 minutes.
Sub Morgan had the ball grabbed off his head by the keeper after Bell made a 40-yard run from Brill's quick throw.
Carlisle might have nicked it in the last minute when Garner fired low all across goal but the ball trickled just wide of Brill's right hand post.
Teams:
Luton Town: Brill, Perry, Coyne, Fojut, Jackson, Bell, Robinson, Spring, Currie Talbot 72), Edwards (Morgan 81), Andrew
Subs: Hutchison, O'Leary, McVeigh
Carlisle United: Westwood, Raven, Aranalde, Bridge-Wilkinson, Livesey, Murphy, Gall, Lumsdon, Graham, Garner, Hackney (Smith 62)
Subs: Carlton, Arnison, McDermott, Howarth
Crowd: 5,462 (inc 408 from Carlisle)
