Wenger told the club's official website arsenal.com: "My heart is tied to this football club so signing a new deal was always my intention.
"This club has deep-seated roots and a tremendous heritage and it is my aim to uphold these important values and help create new history for future generations to recount."
Gunners chairman Peter Hill-Wood added: "It is wonderful news for Arsenal Football Club that Arsene has signed an extension to his contract.
"We have been at Emirates Stadium for a year now and go from strength to strength off the pitch.
"With Arsene continuing to manage the team, I am sure we can look forward to more exciting football and success on the pitch.
"Arsene has a special ability to develop talented players and turn them into world-class stars, a quality that is admired here at the club and indeed around the world."