Sean Dyche felt his side did enough to edge out play-off chasing Cardiff City in a Turf Moor stalemate.
City stopper David Marshall denied the Clarets with two saves in each half on a frustrating night for the hosts.
Dyche admitted: “It was a frustrating one when you think of the chances we’ve created tonight – and the quality of them.
“Fair play to their keeper who has made a couple of fine saves. You could argue we could have been more clinical, but we have certainly done enough to win the game tonight.
“I think when you see the stats from that game it’s going to be very powerful in our favour and given the quality of the chances tonight, we usually put one or more of them away.
“At the end, it would have been a travesty if they had nicked it with the one that hits the bar, but it sometimes happens.”
Dyche, whose side remain a point clear of Middlesbrough and two ahead of third-placed Brighton, added: “There is a lot of stake now and a different feel in the crowd now and I think the players handled that really well tonight.
“As I suggested, I think the stats from that performance will be very strong and if we keep creating chances of that quality, then we’ll win lots of games until the end of the season.
Nobody is going to let you walk over you, but I felt we really tried to grip the game tonight and went after them, particularly in the second half, and one goal makes the game very different.
“But everyone is fighting to be where we are and we’ve done fantastically well.
“Don’t forget that on Boxing Day we were eight or nine off the top and those above us had games in hand.
“Now we are top of the league, so we’ve come a long way and there’s a lot of hard work been done. There’s still hard work still to do, and every game is a big game.”