The Terriers kept out the opposition for the fourth time in six top-flight games by leaving Turf Moor with a goalless draw on Saturday afternoon.
Opposition boss Sean Dyche credited Huddersfield for their resilient display in East Lancashire, which Wagner admits is one of the key factors for his side to continue working on if they are to avoid dropping down to the Championship come the end of the season.
"I think the most important thing to be competitive is to be difficult to break down and to be very concentrated and focused over the whole time as a defence," he told reporters. "We live from our working attitude and togetherness, particularly in the defence, so everybody feels the responsibility and makes the dirty yards.
"That is why we have four clean sheets from six Premier League games. That is very good and we have to make sure we continue. I was very pleased with our defensive work in the first half. We were a little bit too sloppy in possession, we made too many easy mistakes, as we did in the last away game against West Ham.
"But we spoke about it and in the second half the players did it much better and we were able to create our moments. Burnley is a difficult place to go, you will not get a lot of chances, the one or two we had we were not clinical enough, I'm OK with the result and very pleased with the effort."
Huddersfield, who are winless in four league games, return to the John Smith's Stadium next weekend when they take on Tottenham Hotspur.