Mark Fotheringham marked his first home game in charge of the Terriers with a victory.
Ryan Longman had a great chance to equalise in the first half, but he missed the target.
Jordan Rhodes went close to a third when he hit the post, after Town's second goal.
Oscar Estupinan missed a great chance from 12 yards in the 18th minute as Hull lost for the sixth time in seven games.
Even though they remain second from bottom of the Championship, they are only two points from safety, while Hull are 20th.
Fotheringham won his first game as head coach at the third attempt, making him the first new boss in seven years to win his first game.
The deal to bring Pedro Martins to replace Shota Arveladze fell through on Friday and the result was a defeat.
Tom Lees' 13th-minute volley into the arms of Hull keeper Nathan Baxter was the highlight of a quiet start, but the Terriers defender failed to turn in a corner eight minutes later.
After Cyrus Christie lost the ball in his own half and Camara broke into the penalty area, Camara whipped a left-footed cross into the six-yard box that Coyle could only glance past the keeper.
Longman had a goal-bound effort from the edge of the box blocked by Helik at the end of the first half, and then had a chance to score in the second half after being put through by Coyle, but he missed.
Town started the second period well after Hull made a change at half-time.
Helik headed home Danny Ward's cross after Sorba Thomas' floated free-kick into the Hull area was not cleared, after Rhodes had an effort hacked away by Coyle.
It should have been three when Rhodes' 62nd-minute strike was touched onto the post and followed by efforts from Lees and Helik, but they were ruled out by Hull defenders.
Estupinan - the Championship's top scorer with eight goals this season - should have got his ninth when he blazed over from Greg Docherty's pass in a moment that summed up the game.
Mark Fotheringham is the head coach of the Terriers.
We will play better in the future than we did in the first half, that's for sure.
The players were better in the second half after I gave them a volley at half time.
My job is that. I'm not here to be friends with the men. We need to win games and we are going to win them.
I can't change what's happening on the pitch. You're starting to see my identity after eight sessions with them.
The interim boss of Hull is AndyDawson.
I didn't think we had intensity. The keeper was not worked enough. Four shots were fired over the bar. The little things are what we need to improve.
If you don't know what's behind you and it's a good ball, then you have to try and affect it.
If he leaves it and it's tapped in behind him, then you have to ask a different question. I can't think of a reason for that. Football happens, that's what it is.
The second goal is really disappointing because I thought we would get a goal and we had some great chances to score.
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