Work will start on the £9.7m deal at the West Sussex site in October.
Kier will build a new training centre, armoury and office extensions as part of a wider £27m upgrade of Baker Barracks to deliver new Single Living Accommodation.
The infrastructure investment is part of the Army Basing Programme (ABP) which is providing the facilities the British Army needs to live, work and train in the UK as it returns from Germany, rebases across the UK and restructures to its future Army 2020 formations.
Trevor White, operations director for Kier Construction Southern said: “We’re extremely proud to have been appointed to deliver this project which will supplement the existing facilities at Baker Barracks.
“It’s an important project for DIO so they can provide improved facilities for our armed forces and we look forward to working with them to deliver this exciting opportunity.”