Town were great value for an important win as they scored two second half goals to move to within two points of safety and keep the pressure on with three matches remaining.
The victory extends the Hatters’ fantastic away record since the Championship restart earlier in June, earning seven points from a possible nine.
Nathan Jones made two changes to the starting line-up following Tuesday’s 1-1 draw against Barnsley as both Andrew Shinnie and Harry Cornick were brought in to face the Terriers.
The opening half was cagey and despite a number of promising openings for both sides, neither could muster up a golden chance to take the lead.
The Hatters found some joy down the right-hand-side on occasion, with James Bree and Cornick interlinking well but his cut-back intended for Lee was intercepted in the penalty area.
Whilst the Town couldn’t manage a shot on goal, Huddersfield did through Lewis O’Brien but Simon Sluga was able to gather with relative ease.
The second half began with a lot more intensity and four minutes later, Bradley gave the Hatters a vital lead with a powerful header from Bree’s corner.
Town were pushing for a second and almost got exactly that in the 64th minute when James Collins cut in from the left, beat two men but ultimately curled his effort narrowly wide of the post.
Huddersfield then came close through Emile Smith Rowe moments later, who dragged his right footed shot wide of the goal.
Thankfully, it was the Hatters who managed to find a decisive second and what a goal it was too. Collins broke down the right and his bullet of a strike cannoned off the post into the path of Lee, who managed to get in front of two defenders and smash the ball into the top corner for his second goal of the season.
Defensively the Hatters were resilient and limited the home side to very little, even with seven minutes added on at the end of the game.
After moving off the foot of the Championship table, Town will now switch their attention to Tuesday night’s home match against Queens Park Rangers full of confidence they can continue their bid for survival.
HUDDERSFIELD: Lossl; Chalobah, Stankovic, Schindler (C), Toffolo; Hogg (King 65), O’brien (Bacuna 65); Smith Rowe, Willock (Pritchard 75), Grant; Campbell (Mounier 55)
Subs not used: Coleman, Kachunga, Stearman, Pritchard, Brown, Duhaney.
Yellows: Campbell, Bacuna
TOWN: Sluga, Bree, Carter-Vickers, Bradley (C), Potts; Mpanzu, Berry, Shinnie (Cranie 90+5), Lee (LuaLua 80); Cornick (McManaman 68), Collins (Hylton 80).
Subs not used: Shea, Tunnicliffe, Moncur, Butterfield, Kioso.
Goals: Bradley (49), Lee (71)
Yellows: Shinnie
Referee: Geoff Eltringham