The architectural firm replaces French architect Dominique Perrault, who was dropped from the project after government officials found serious flaws in the construction document.
The contemporary building created by Diamond and Schmitt takes cues from masonry structures with colonnaded porticoes and metal roofs.
The 825,000ft², eight-storey building has a five-storey masonry base consisting of structural glass bay windows and features a swooping zinc roof and glass canopy.
Diamond and Schmitt has partnered with local architects KB ViPS for the €295m ($415m) 2,000-seat theatre.
Construction is expected to begin immediately, with completion set for 2011.