Set for completion next year, the Park Grove complex is being built in the waterfront area south of Downtown Miami, on the last free plot. It will form part of Bay Shore Drive's "wall of towers", made up of large residential, office and hotel buildings.
The new photographs, released earlier this week, show that the concrete frames of the three curvaceous towers are complete, including two that are "peanut-shaped" and a third that is more cylindrical.
Large amounts of glazing, which will offer residents views of Biscayne Bay and the Miami skyline, have already been installed, along with generous balconies.
A raised plinth that connects the buildings at ground level is also taking shape.
The project is designed by OMA's New York office, which is led by firm partner Shohei Shigematsu. Meanwhile, the interiors are designed by New York studio Meyer Davis.
The images also show that these interior spaces are also underway. One image shows constructions workers panelling the walls, while another previews a kitchen with marble surfaces.
OMA first unveiled its design for Park Grove in 2014. In an interview with Dezeen, Shigematsu said the aim was to create "an organic form, rather than too much of a defined tower".
"The external columns will actually create an effectiveness in blocking the sun, and they remove the impression that it's all glass," he said. "I always think that an all-glass building in a tropical climate is a little bit strange."
The firm released a new set of renderings earlier this year.
Once completed in 2018, Park Grove will host one million square feet (93,000 square metres) of living spaces across the five-acre site.
Other facilities for the residents are a children's playroom and a restaurant. There will also be a wine cellar, a gym and a screening room located underneath the raised plinth outside, with gardens and a swimming pool placed on top.
The building is going up next to a pair of twisting condominium blocks that BIG completed last year.
The two projects form part of a boom in luxury condominium construction in Miami. Other well-known architects creating projects in the area include Zaha Hadid Architects, Foster + Partners, Renzo Piano and Herzog & de Meuron.