STRI will help transform Barn Elms Playing Fields into a multisport facility and lead on design, tendering and supervision of works, due for completion June 2013.
New layout of the 19ha site will include eight mini, two junior and five senior football pitches, two rugby union pitches, three tennis courts and two cricket pitches.
The £2.3m scheme will also include a multi-use games area, reinstated cricket nets and a car park near an existing running track that is being kept.
At present the site hosts athletics and field sports but surfaces and facilities need grading. There is a small fishing lake on the site.
Funders, the Barn Elms Sports Trust and Richmond Council, said the site would be protected for local sport and recreational use in partnership with Fields in Trust.
Local councilor Pamela Fleming said: "The new facilities at Barn Elms set a standard for what can be achieved by people working together with the council.
"I’m pleased we now have a programme of works, shaped to meet the wishes of the community, and that will be ready for use by the community in just under two years."