Arsenal manager Arsene Wenger was pleased to secure the three points against Bolton which puts them in pole position to finish fourth in the Premiership.
The Gunners looked to be in trouble when Nicolas Anelka fired Bolton into an 11th minute lead, but goals from Tomas Rosicky and Cesc Fabregas secured an important victory for the home side.
Wenger's side are now five points clear in the race for the fourth UEFA Champions League place, to the delight of the French tactician.
"It was more nervous than I probably would have liked but I'm happy with the performance of the team, they were tested mentally," Wenger told the webstie.
"One-nil down against a good side overall I'm very happy with the performance, of the mental strength shown, we didn't panic, kept composure, played well, outplayed Bolton and created chances.
"Overall what was very vital for us was the three points today."
Wenger is adamant his side have not yet secured a Champions League spot, but admits they are now close after their 2-1 success.
"Secure, no," he said. "But it is important, it's a big step forward but it's not enough, we want to take advantage of our game in hand on Tuesday night against Manchester City."
Meanwhile, the Gunners chief felt it was important to get the midfield scoring again, and Rosicky and Fabregas duly obliged at Emirates Stadium.
He added: "It is very important but I feel it is in Rosicky and it is in Fabregas to score goals and I'm very happy that they got one because that will give them a needed boost and lift to come back and score again."