Clarets boss Sean Dyche hailed his players for finding “a different way of winning” after a backs to the wall victory at Stoke City.
Two early Danny Ings goals set Burnley on the way to a second-successive win, before Jon Walters pulled one back.
But, under relentless pressure, the Clarets held out to secure only a second-ever away success in the Premier League.
The result saw Burnley climb to 18th in the table, and Dyche said: “Everyone tells me that back to back wins in the Premier League are massive, and I’ll go with that, we’ll take them gladly.
“Last week was one win, people were asking would we ever win? I said we would, but after that we need another one, and we need more.
“But it was a different way of winning, that’s an important factor.
“Not for one minute did we think we were going to roll around the Premier League slicking the ball around for 95 minutes.
“I thought we were very good for the first 15, with two very good, high quality goals on the counter, and started on the front foot.
“They then had that freedom of being 2-0 down, because they have nothing to lose, and they came at us wave after wave, but the framework of the team was very good, which we think it is.
“The old-fashioned traits I believe in wholeheartedly were on show, the desire, respect, honesty, team ethic - all the good qualities I feel are the basis of a good side.”
Dyche feels there is more to come from his players, however: “We understand the level we are playing at, it is very good, and credit to Stoke, they never stopped coming at us.
“I’m hyper critical sometimes though, and we have to learn to keep the ball better, to find the pass when under pressure, and that’s how I think. I don’t get carried away, and we can learn from that to add to the good things we did.
“But we want to find a balance and the two goals were excellent. And with everything they threw at us, I don’t think Tom (Heaton) had many big saves to make.
“That’s credit to what is in front of him and the will and desire of the team.
“The team are developing and learning fast, we’re not naive to the challenge.”
Ings built on his recent double for England Under 21s against Portugal as he returns to the form which made him Championship Player of the Year, and Dyche added: “He started the season and there was a lot of expectation, it’s very hard for young players going into your first Premier League season.
“I said I thought his injury would do him good in a strange sort of way, and he’s looking nice and sharp and fresh.
“He’ll learn from the whole experience, the feel of it.
“He knows he has the freedom to go and play, as all the players have.
“His journey is a good one, as with all the players.”