Randall has made two appearances for the Gunners this season and MK Dons are delighted to have signed the 20-year-old.
Assistant manager Karl Robinson told the club’s official website: “Mark is a fantastic talent and is rated extremely highly by Arsene Wenger, so we’re very fortunate to have him available to us until the end of the season.
“It’s testament to the way MK Dons are perceived that massive clubs like Arsenal are prepared to trust us with the development of some of their best young talent.
“We’re a club making great progress and signing a young player of Mark’s quality is a huge statement of our ambition. He’s the kind of player we hope to have running through the club in the coming years.
“He’s got fantastic technical ability, Champions League experience, and is competing with some of the best players in the world at Arsenal, so I’m sure he can add a lot of quality to our squad.”