Wenger, who has been in charge at the North London club for 17 years, is the longest-serving current manager in English football and the most successful in the history of the club.
After the contract was confirmed on Arsenal.com, Wenger said: “I want to stay and to continue to develop the team and the club. We are entering a very exciting period. We have a strong squad, financial stability and huge support around the world. We are all determined to bring more success to this club.
“I want to stay and to continue to develop the team and the club."
Arsene Wenger on his new contract
“The club has always shown faith in me and I'm very grateful for that. We have gone through fantastic periods and also periods where we have had to stick together. Every time when that togetherness was tested I got the right response. I think I have shown some loyalty as well towards this club and hopefully we can make some more history. I am sure we can.”
The 64-year-old won The FA Cup for the fifth time a fortnight ago as his side defeated Hull City 3-2 after extra-time in The Final. He has also led Arsenal to three league titles and to a Champions League final.
He is also the first manager in English league history to complete an entire 38-match season unbeaten, achieving that feat in 2003/04.