The Terriers went in front, as Danel Sinani fired in after being found by Harry Toffolo.
Luton found an equaliser later in the half, as Sonny Bradley fired in from a Kal Naismith free-kick, meaning it’s all to play for as Town go to the John Smith’s Stadium on Monday.
Nathan Jones named an unchanged side from the 1-0 win over Reading on the final day of the regular Championship season. James Bree kept his place, after he returned to Town’s line-up against the Royals on Saturday. The only change was on the substitutes bench, as Peter Kioso came in for Admiral Muskwe.
Town’s first chance came after three minutes, as Bree’s venomous effort stung the fingertips of Lee Nicholls in the Huddersfield goal.
But it would be the visitors who would go in front, taking the lead after 12 minutes. Sinani’s low effort was enough to beat Matt Ingram at his near post.
After a strong period of possession, Town would find themselves level on the half-hour mark. A brilliant ball in from Naismith was met by a first-time hit from Bradley, who found the top corner for the equaliser.
Cameron Jerome was the next Town player to come close. The striker burst forward and almost found the top corner with a brilliant curling effort, but saw it go just wide of the post.
The Terriers registered the first shot on goal after the restart. Danny Ward saw his effort deflected out for a corner, with the Hatters eventually clearing their lines.
Jordan Clark tried his luck with an ambitious long-range volley, but his effort didn’t trouble Nicholls.
Jones made his first switch of the evening not long after the hour mark, as Tom Lockyer replaced Henri Lansbury.
The second half was a cagey affair, with both sides not creating any clear cut chances.
Town made their second switch of the game with ten minutes remaining, with Danny Hylton coming on for Reece Burke.
Clark had another long-distance effort for the Hatters, but his curling effort was off target.
Robert Snodgrass was Town’s third and final substitution of the evening, replacing Jerome.
The game would end as a draw, as Jones’ side travel to Huddersfield on Monday night for the second leg and a place at Wembley.
Goals:
Town: Bradley (30’)
Terriers: Sinani (12’)
Att: 10,005 (1,014 away)