More from: Atkins reveals Cyprus skyscraper
Launched last year, the contest attracted some of the best British practices, and is part of a wider development aiming to create a cultural quarter in the island's divided capital.
The scheme is backed by the AG Leventis Foundation, a not-for-profit private charity which has a record of promoting culture and arts internationally.
Suzie Lloyd of FCBA said: 'This is a fantastic win for us, drawing on the studio's experience of the arts and sustainable design-led projects.
'The mix of gallery spaces, restaurant and apartments creates an interesting dynamic on the site.
'The building form is eroded, creating a tenuous play between solid and void, generating a series of courtyards both public and private - 'places' which connect themselves back to the city of Nicosia.'
Feilden Clegg Bradley scoops major gallery scheme in Cyprus - images