Clarets boss Eddie Howe was delighted with what he described as the best display under his brief tenure.
"I thought the lads were magnificent tonight and it was definitely our best performance since I've been here.
"We started on the front foot and the most pleasing thing was the amount of chances that we created.
"There were a lot of really good performances and hopefully we can continue to build.
"We've got four games to go and hopefully it will be an exciting end to the season."
Two wins inside the past four days have propelled Burnley right back into contention for a top-six finish.
"Two games ago we looked out of it but we are back in there fighting," added Howe.
Middlesbrough again showed their defensive frailties which have dogged them all season.
Boro boss Tony Mowbray admitted: "Tonight was a free shot at three points for them.
"They were always going to come at us strong at the start, but we weren't ready for it and that's the frustrating thing for me.
"It's an easy story to write - the team that wanted it more - but I'd like to think that's not the case.
"Two goals in as many minutes knocks the stuffing out of any team. That gave us a mountain to climb and it proved too much.
"The evidence was out there on the pitch."