Luckless Boro have taken all three points from a match on just one occasion this season - at Charlton on 10th August- although they have drawn six occasions of their opening 10 Championship fixtures.
The Teessiders' winless run at the Riverside, which stretches back to mid-April, continued on Tuesday night despite them overcoming a nervy start to largely dominate against the Terriers.
The hosts fell behind against the run of play just before the hour mark when Oscar Gobern's strike took a vital deflection off James Vaughan, who bagged his 11th goal of the season.
Young defender Ben Gibson earned Boro a deserved share of the spoils after heading home from a corner and they could have snatched victory at the death, only for the underside of the bar to deny Dean Whitehead.
While Mowbray hailed his side's spirit, he was ultimately left frustrated at their failure to turn a commanding performance into a much-needed victory.
"I thought the team worked extraordinarily hard to get a result," he said.
"After the first 10-15 minutes where it was a bit anxious for us understandably, not having won at home this season.
"We then got right on top, I thought we really worked their keeper, we controlled the game after the first 15 minutes from start to finish and yet we don't get the result again.
"As has been pretty common, we lost a preventable goal and had to fight our way back, which we did.
"We were unfortunate at the end not to win.
"I thought it was a fantastic effort from the team and yet ultimately we're in the business of trying to win matches, particularly here at home, and we haven't managed to do it again."
Huddersfield boss Robins thought his side were worthy of a point.
"We started quite brightly, I thought we took a foothold in the game, we passed it okay until the final pass, which meant that we were chasing more than we would have liked," he said.
"We didn't create a massive amount but we were huffing and puffing, I thought in the first half it was an even contest.
"They came back into it towards the end of the half and then tried to take command early in the second.
"We needed to change it and the introduction of Danny Ward (from the bench) was a real turning point in terms of the possession and the direction of the game. We got a goal and then the game was nip and tuck for the rest of the evening.
"It was a close-fought contest. They're a good side, no doubt about that. They've thrown the kitchen sink at us and we've conceded a poor goal from a set-play. Had we defended, we could have picked up three points at a place we lost 4-1 last year."