A Sergio Aguero brace saw the Blues win after falling behind - the first time they have achieved that in the Premier League this season - after Dean Marney had given the Clarets a first-half lead.
The Blues boss praised his side’s ‘personality’ and expressed his delight, as City completed a tough week with three positive results to also maintain their impressive away record.
“It’s good news,” Guardiola reflected. “Away – except at White Hart Lane – we have won. They were all quite similar – complicated and difficult. You want to control that and it’s almost impossible.
“It’s almost impossible to defend against long balls. Burnley are taller than us and second balls are good. They are so dangerous. All Premier League teams do well with that and we have to improve a little bit how we solve those kind of actions – in Spain and Germany, it doesn’t happen.
“You cannot press because there are long balls and they are taller to win second balls. They put the ball in the channels, looking for corners and free-kicks.
“I have to learn what we have to do.
“Some faults are our fault. I also need time to understand the referees. We are so satisfied for the points and the performance, especially two days after the Champions League.
“All of the players showed huge character and a lot of personality – and after going 1-0 down at a stadium where only Chelsea are better at home. We are so happy. We have a long week to rest a little and prepare for Chelsea.”
Aguero bagged his 32nd and 33rd goals in his last 34 Premier League appearances at Turf Moor, and Guardiola declared he could tell the Argentine was in a confident mood.
“They were beautiful goals!” the City boss joked.
“He is talented. He played very well and moved well.
“From the beginning, he was ready. His body language was really good. Of course, he has the quality to score amazing goals but we need him in the box.
“He played a really good game.
“It has been a huge week for us. We qualified in the Champions League, and we won at Crystal Palace and Burnley so that’s why we’re happy. I am still learning but I am in the process.”