Construction on the £14m contract will start this month on the 190,000 sq ft first phase of the two-phase construction programme, with completion expected by November 2011.
McLaren director David Wheeler said: “We are delighted to be working again with Stoford.
“This is a great award for the McLaren Group, as it complements the continued growth of the McLaren Group in the West Midlands”.
Dan Gallagher, Stoford Director, added: “This is a significant milestone in a project that will give a great boost to the regeneration of the Black Country.”
Moog is relocating its flight controls operation from its existing base in nearby Wobaston Road by September 2012 in a move that will safeguard around 400 jobs.
The project has been supported by Wolverhampton City Council, Advantage West Midlands and Fusion Building Consultancy.