Brendan Rodgers' men eased to a fourth consecutive victory and, with Wolves and Watford in FA Cup this weekend, moved into the top seven on goal difference - a placing that will be enough for European qualification if Manchester City win the cup.
Goals from Youri Tielemans and Jamie Vardy had Leicester two goals up and seemingly cruising early in the second half, only for Aaron Mooy to swiftly halve the deficit from the penalty spot.
But James Maddison curled in a delightful free-kick 11 minutes from time and then Vardy got his second from the spot as Huddersfield's misery goes on.
3 - James Maddison has scored three direct free-kick goals in the Premier League this season, the most by a player in a single campaign since Philippe Coutinho in 2016-17 (also 3). Speciality. #HUDLEI— OptaJoe (@OptaJoe) April 6, 2019
Former Foxes man Ben Hamer blocked well from a close-range Maddison effort, but he was caught out by Tielemans' opener in the 24th minute, failing to react to a powerful 20-yard drive.
Demarai Gray lashed over the top when he should have added a quick second, before the same man was denied by Hamer as Leicester continued to carve through the home back line.
Huddersfield should have equalised moments after the restart as substitute Isaac Mbenza picked out Karlan Grant, whose tame finish allowed Kasper Schmeichel to parry clear.
Vardy exacted swift punishment as he met Gray's right-wing cross at the other end, but Huddersfield were soon back in the contest.
Caglar Soyuncu slipped in the area and then lunged in on Grant, prompting referee David Coote to point to the spot, with Mooy sending Schmeichel the wrong way from 12 yards.
Maddison shot narrowly wide as Leicester looked to restore their two-goal cushion, but it was his wonderful free-kick which made the game safe after an instinctive Schmeichel stop was required to keep Steve Mounie at bay.
Terence Kongolo then tripped Vardy and the former England forward dispatched the penalty to surpass Leicester great Gary Lineker with 104 goals for the club.
What does it mean? Foxes enjoying themselves
Leicester's results were reasonable enough under Claude Puel, but the common complaint was that neither players nor fans were enjoying their football. That no longer appears to be the case. The visitors' free-flowing approach on Saturday was both thrilling and effective - and they are right in the mix for European qualification.
Harvey Barnes enjoyed a blistering first half of the season on loan at West Brom and he is starting to show his class in the Premier League now, too. The winger ran at Tommy Smith time and time again to create early chances for Leicester, while Gray was similarly impressive on the opposite flank.
Not Grant's day
Grant has provided Huddersfield with a belated goal threat since arriving in January, but he endured a frustrating outing against Leicester. His only clear opening was directed straight at Schmeichel and, although he drew the challenge for the penalty, further efforts to get the front man in came to nothing.
Key Opta Facts
- Leicester have won 10 of their last 11 league games against Huddersfield Town, drawing the other 1-1 in September 2017.
- The Foxes have now matched their points tally from the entire 2017-18 season in their 33 league matches this season (47 points).
- Huddersfield have lost 19 of their last 21 games in all competitions since the beginning of December 2018 (W1 D1), more than any other side in the top four tiers of English football in that period.
- This was Huddersfield’s 25th Premier League defeat of the season; only in the 1987-88 second tier season have they ever lost more games in a Football League campaign (28).
- Vardy has scored in each of his last four league games against Huddersfield (five goals), including all three in the Premier League (four goals).
- Maddison has scored three direct free-kick goals in the Premier League this season, the most by a player in a single campaign since Philippe Coutinho in 2016-17 (also three).