The Hatters controlled the first half, but took a while to unlock the Bantams defence, but after James Justin scored from close range the floodgates opened and Elliot Lee netted twice more before the half-time whistle.
The second half saw the visitors much improved and they tested the Town with a number of shots from range, before Harry Cornick grabbed a deserved goal late on to seal a brilliant win.
Jones said: "I am thoroughly delighted, I thought first half we were outstanding, I really did. Against a real difficult opposition, we keep saying it, but their league position is a little bit false. Some of the players they have got are fantastic for this level and we knew they'd be a dangerous side.
"We watched them and thought they would match us up with a diamond or sit back with a back five like they did against Peterborough and really deny space, but I thought the way we played first half was wonderful, it really was a wonderful performance – the way we moved it and we could have scored more and then affectively once you've got three goals the game is dead.
"Second half they came out and had a right go to be fair to them and we looked a little bit lacklustre, but we were always a real threat on the break and we finished strongly, so I am pleased, I am very pleased."