The £25 million scheme had been put on hold after central government told the Foreign and Commonwealth office there was no cash available to fund it(FCO scheme in Abuja put on hold).
The practice won the design competition ahead of shortlisted firms Allies and Morrison, Jordan and Bateman, The Manser Practice, and John McAslan & Partners.
The 5,000m2 complex will centre around a triple-height atrium space which bisects the site, providing definition between the public and private areas.
The scheme is also driven by the site's topography. Natural forms around the complex will provide blast protection and also ensure seamless integration between architecture and landscaping.
Paul Dunn, director of architecture at RTKL, said: 'Our aim was to create a design which reinforces the British High Commission's role in Abuja while offering functional and flexible space.
'We know how important it is to create a positive image for the commission within the local community. That is why we avoided the perception of separation and paid particular attention to the way the public approach and move through the complex.'
The practice will now work up detailed designs over the coming months.