Having already overcome Wolves and Norwich in this year's competition, the Blue Square Bet Premier club had their sights set on becoming the first non-league side to reach the last eight since 1914. Millwall, though, had other ideas, with goals from James Henry, Rob Hulse and Dany N'Guessan securing a 3-0 win.
"It was a very good win for us in a tough tie," Millwall manager Jackett said after leading the Lions to a first quarter-final appearance since 2004.
"They put is under a lot of pressure. Getting the first goal was a big thing in the game and it was an excellent opportunist goal from James Henry. We got our noses in front and it put us on the right track.
"We silenced them very early. They've got a very good home record over the last three months and before winning at Carrow Road, they beat Wolves here.
"They have had some giant-killing experience and it was a very professional job done by us and we're pleased to be through to the quarter-final of the FA Cup."
Luton's focus now returns to league action after a memorable cup run that began in October.
"They always give their all this group of players," manager Paul Buckle told Press Association Sport. "Every player I have tried to sign has to have them qualities and they gave their all right to the very end.
"The biggest disappointment was not scoring a goal because I really felt, with the chances we had, we deserved a minimum of one goal.
"The dream is over and it is disappointing because of the manner we've gone out, really. As professionals, we've gifted it to Millwall. We really have given them a leg up that they would have loved to have had."
- Sports & Recreation