Tries from Teshurn Edwards, Chris Davies, Jack Elston and Sean Meddeman also secured a bonus point for Luton who end their run of four consecutive games on the road without a win.
Luton commanded the flow of the contest from start to finish and never really looked like losing their grip.
In the opening minutes, Luton were awarded a penalty and Rick Hobbs drew first blood for the visitors.
With 14 minutes on the clock, Edwards crossed the line as he sprinted over for his eighth try of the campaign.
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Hobbs couldn’t add the extras, while Stuart Tomkinson was sin-binned on the half hour mark and a penalty try, converted by James Wilson saw Ipswich trail 8-7.
A Hobbs’ wayward penalty saw the referee bring the first half to a close as in the second period, Davies and Connor Sibley replaced Tyrone Ashton and Jonathan Kerr.
Davies made an immediate impression scoring Luton’s second try as Hobbs converted to make it 15-7.
Late scored from Elston and Meddeman, with Hobbs kicking one conversion, saw Luton add a further 12 points to climb to seventh in the table.
Skills coach Chris Parr said after the game, who took charge of the team alongside Darren Moore in the absence of Paul Allen said: “It’s been a long time coming and should be good for spirits.
“We are coming up to Christmas and it would be easy to switch off.
“Ipswich is a tough place to come to, it’s a long trip but the boys did really well.
“Hopefully it will be a springboard for good things after Christmas, although our focus must first be on Letchworth.
“The players put in a lot of hard work, fight, spirit and showed great character, so you can’t ask much more than that.”
On Luton’s hopes of going up this season too, Parr added: “We’re not thinking about that.
“If you become too obsessed with promotion and league position you can lose sight of what’s really important and that is getting results, plus building the right culture and environment to then go on and win things.”
“If you don’t get your values and foundations right, you can forget about winning anything so as far as we are concerned its about the next game.
Luton travel to third place Letchworth Garden City this weekend.