He will hand control of the scheme to deputy chief executive Simon Murphy on May 1.
Tincknell, who will take up a role on the Battersea Project Advisory Board, said: “After 10 years as CEO of this extraordinary project, leaving has been a difficult decision for me.
“I would like to thank the Malaysian shareholders for their unstinting commitment and support over the years, Battersea would certainly not be happening without them.”
The 51 year developer, who has been dubbed the man who rescued Battersea Power Station, first began his involvement with the project in 2008 focusing upon the masterplan and a new transport solution needed to unlock the site.
In 2012 the development was purchased by a Malaysian consortium of shareholders and over the last six years, over 850 new homes together with new shops and restaurants have been completed.
Another 3.5 m sqft of development is currently on site including the restoration of the historic icon itself which will open in 2021.
Underpinning one of London’s largest construction projects, over 1,500 apartments have been sold to date and nearly 800,000 sqft of commercial occupiers including Apple’s new UK HQ have ben signed up.
Dato’ Johan Bin Ariffin, Chairman of Battersea Project Holding Company, said the appointment of Simon Murphy, who was chief financial officer for six years, would ensure a smooth transition.
He said: “We look forward to continuing to work together in developing and successfully executing the ongoing strategy for this iconic development.”