Tyler is currently chairman of Sainsbury's and was, until recently, also chairman of IT company Logica; in addition he is a non-executive board member of Burberry.
David Tyler said of his appointment: "I am delighted to be chairing the Board of Hampstead Theatre. It has a remarkable history and my Board colleagues and I are determined to help its outstanding team to develop this much further, with its distinctive approach and its terrific building."
Hampstead artistic director Edward Hall responded: "I am delighted to be working with David who is a man of extraordinary talents. His love of the theatre combined with his experience as chair of a company that puts philanthropy at the centre of its agenda, gives him a unique perspective from which Hampstead will benefit enormously.
"David joins us at a time when the theatre is poised to confirm its financial and artistic recovery. The Judas Kiss is a complete sell-out and the top selling production in the theatre's 54-year history... I look forward to the next chapter in Hampstead Theatre's history with great anticipation and excitement."
Tyler takes over as chair from Dame Jenny Abramsky, who praised the "new artistic vigour and ambition" of the new regime. Hall took over from Anthony Clark in January 2010.