Goals from William Saliba and Oleksandr Zinchenko sealed victory for Arsenal after James Trafford levelled Leandro Trossard's opener.
Find out who impressed with our Gooner Fanzine Player Ratings as the Gunners moved into second spot in the Premier League
Player Ratings:
David Raya: 7/10 - Is the Brentford loanee finally settling in at Arsenal after a good performance that featured an excellent save from Jay Rodriguez. Could not be faulted on the goal, which took a small but vital deflection off Gabriel
Takehiro Tomiyasu: 7/10 - Solid and reliable
Gabriel: 7/10 - Deflected the ball past Raya for Burnely's leveller but other than that gave another powerful performance in the Gunners backline
William Saliba: 8/10 - Emphatic header past Burnley keeper James Trafford to put the Gunners 2-1 ahead. Another excellent match for this Role Royce of a centre-back who seems to improve more each game
Oleksandr Zinchenko: 7.5/10 - Excellent second half strike to make it three for Arsenal
Declan Rice: 8/10 - A world class talent who is flourishing in red and white - and helping Arsenal to flourish in return
Jorginho: 7.5/10 - Captained the side in Martin Odegaard's absence again and was quietly influential in the engine room
Kai Havertz: 5/10 - Could and should have scored with a header early on for the second game running - but didn't. Another mercurial performance which could also be described as underwhelming and disappointing. Hooked after Saliba put Arsenal 2-1 ahead
Leandro Trossard: 8.5/10 - Bravery to score the opener despite knowing he was about to get clattered by Burnley keeper Trafford. Excellent corner for Saliba to nod hone after the interval. Fully deserved his ovation after being substituted for Eddie Nketiah on 81 minutes
Bukayo Saka: 8/10 - Lively in the first half when helping to cut through the Burnley backline. Provided an assist for Trossard's opener before giving way to Reiss Nelson with nine minutes left
Gabi Martinelli: 7.5/10 - Always lively, always a threat. Had a chance saved early in the second half when breaking but Trafford blocked his powerful drive
Substitutes:
Fabio Vieira: 5/10 - Replaced the underperforming Havertz on 59 minutes. Sent off with seven minutes remaining after Michael Oliver deemed his high challenge a straight red card - after the official had not booked a single player in the proceeding 83 minutes.
Jakub Kiwior - 6/10 - Replaced Martinelli on 89 minutes
Reiss Nelson - 6/10 - Came on for Saka late on
Eddie Nketiah - 6/10 - Replaced Trossard with nine minutes remaining
Subs not used:
Aaron Ramsdale (GK),
Reuell Walters,
Mohamed Elneny,
Bradley Ibrahim,
Charles Sagoe Jr