The PFI school is being delivered by the Learning21 consortium, which includes Costain, Babcock International and Building Schools for the Future Investments LLP.
Funding is to be provided by Aviva Commercial Finance.
Thirteen hundred pupils, teachers and staff will move into their new school in September 2012.
The deal has been set up to allow local residents to access the new sports and conference facilities outside normal school hours.
This latest deal forms part of Lewisham Council’s BSF programme, which has delivered two new schools, has another school under construction and a number of new and refurbished schools progressing towards financial close.