The contractor will build the five-storey New Colindale Campus for Barnet and Southgate College, which includes a construction technology school, training hair salon and public library.
Osborne will be working alongside the college team lead by AECOM on the new building which forms part of a £550m urban master plan to regenerate the wider Grahame Park area.
John Craig, Business Unit Director for Osborne’s Education sector, said: “We’re delighted to be preferred bidder, especially in the face of some strong competition.
“New Colindale presents a great opportunity, not only to deliver a striking built asset for the College, but to enable local regeneration and establish a legacy of which everyone can be truly proud”.