The American has been involved in a long battle to acquire a controlling interest in the club, and has fought off the advances of Alisher Usmanov to do so.
Kroenke owns 66.06% of the club, while Usmanov still retains 27.37%
He had this to say today:
''As the controlling shareholder of Arsenal Football Club, it will always be our intention to do what's necessary to assure success on the pitch, provide long-term stability and build on the accomplishments and history of the club.
''We recognise that overseeing the operations of the club is not only a privilege but a responsibility that will require attention and dedication as the club strives to reach all of our goals on and off the pitch.
''We will continue to grow the club's presence globally while also adhering to the club's self-sustaining economic model. The club has funds to invest and will do so wisely.
''Our constant aim will be to compete for silverware and championships.
''The long-term health of the club is of utmost importance and the board, chief executive, manager and the wider team will be working hard to achieve success for the club and our fans, and to play our part in our communities in north London and beyond.
''Arsenal is not about one shareholder, one player or one fan. It's a special institution and we look forward to celebrating that further during the 125th anniversary year of the club.''