The contract is part of an £83m investment by the Ministry of Defence in a Defence Fulfilment Centre (DFC).
The DFC will be run by Team Leidos, a consortium of US defence contractor Leidos, Swiss freight firm Kuehne+Nagel and UK logistics firm TVS Supply Chain Solutions.
The MoD awarded Team Leidos a 13-year logistic commodities and services transformation (LCST) contract in April 2015. The new DFC is a key part of that.
Kuehne+Nagel is the storage, distribution and freight lead for Team Leidos on the project and is effectively McLaren’s client for the build.
Defence procurement minister Philip Dunne led the ground-breaking formalities on site last week and construction is programmed to complete by autumn 2016.
McLaren Construction managing director Phil Pringle said: “The project represents a landmark win for our business and demonstrates the growth of McLaren in the region. We look forward to furthering our track record in the distribution and logistics sector and successfully delivering what will be a high profile and state-of-the art facility for Team Leidos, Kuehne+Nagel and the MoD.”