"I have done what I can to make a contribution, particularly in efforts to improve banking standards and to shape a more trusted and resilient financial sector after the crisis"
He was first elected as the Member of Parliament for Chichester in 1997.
Tyrie did not give a reason for his departure, but said in a statement that he remains "deeply committed to the public service" and is "determined, and hopefully young enough, to contribute in other ways in the years ahead".
In his statement, Tyrie said: "After very careful thought, I have decided to stand down from Parliament.
"It has been an exhilarating twenty years. I have done what I can to make a contribution, particularly in efforts to improve banking standards and to shape a more trusted and resilient financial sector after the crisis of 2008.
"I have also sought to play a part in reviving Parliament's relevance, not least by making the case for Select Committee chairmen to be elected by their fellow MPs. Stronger Committees now demand better explanations for the decisions made by ministers, regulators and quangos than hitherto. I particularly want to thank my colleagues and the staff on the Treasury Committee who have worked with me to drive these changes forward."
Andrew Bailey, Chief Executive of the FCA, commented: "I would like to thank Andrew for his contribution to public policy through the Treasury Select Committee and the Parliamentary Commission on Banking Standards. He has played a major role in enhancing the accountability of economic and financial policy at a time of great change."