Goals from Jordan Davis and Charlie Smith, direct from a corner, were enough to give the Hatters victory over their League One opponents.
Despite having both Alasan Ann and Jerome Jibodu suspended, resting Zak Stephens and having to call on fourth choice keeper Matt Evans from their Baldock project Shadow Squad, Luton still had enough to claim a well-deserved victory.
Happy Hatters boss Paul Driver said: “I’m really pleased that even with the suspended players out and Zak Stephens rested we played a League One outfit, and came away with a 2-1 win.
“First half I thought we were the better side. They had 20 minutes in the second half when they were dominant.
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“We played the ball around at the right time and didn’t take risks at the wrong time.
“We played the percentages and all in all were worth our win that takes us up to fifth in the league.”
Town took the lead on 33 minutes when Smith’s crossfield ball found Colby McAdams and his cross was put in by Davis.
The Bees levelled 12 minutes into the second half when their striker found himself clean through and slotted past the helpless Evans.
However, Luton claimed a well-deserved victory when Smith’s inswinging corner caught in the breeze and went straight in.
James Ferguson came close to bizarrely scoring when his clearance bounced over the visiting keeper but went a foot wide.
Jake Woolley was also denied when, after a good run and pull-back by substitute Arel Amu, a defender got back just in time to intervene as he prepared to pull the trigger.
Hatters: Matt Evans, Brett Longden, Mason Blake, Nick Burtenshaw, Ben Ekins, James Ferguson, Colby McAdams, Jerry Nash, Jake Woolley, Charlie Smith, Jordan David.
Substitutes: Ian Rees, Moses Kaddu, Arel Amu, Zak Stephens.