The Council bought the Grand Central site last year to bring forward the £140m office-led development, including hotel and improved car parking, as well as a new gateway to the town centre.
Phase One is expected to start early next year and will see a 1,000 space multi-story car park built and a range of highway improvements carried out by 2004.
Phase Two has been masterplanned for the first commercial office building, new public space, a hotel and highway improvements by 2015.
Phase Three will include further office buildings, extension of the open space and further improved accessibility for pedestrians on a phased basis up to 2020.
Councillor Iain Roberts, executive member for Economic Development and Regeneration at Stockport Council, said: “The signing of the development agreement confirms both parties’ commitment to delivering a cutting-edge new office quarter and commuter destination for Stockport.
“We’ve worked hard to make sure that it’s self-financing and at no extra cost to the Council-tax payer.”
Matt Crompton, joint managing director, Muse Developments said: “Today marks an important milestone in the transformation of this key gateway to Stockport town centre. We can now look forward to working with our partners at the Council to build on Stockport’s commercial appeal to deliver this stunning new office quarter.”