The interior of the museum, while less intricate than its façade, is not without curved design elements. Despite its general sense of spaciousness, a three-story structure is discernible. The museum's main entrance is located at the end of a series of exterior staircases that begin in the previously mentioned plaza and descend to the first floor level. Above the entrance doors is a glass wall that does not cover anything in particular. The first floor is divided into two parts, one of which is a subway section that is not open to the public. Once at the entrance, you enter directly into the foyer, a huge room with a height of 50 meters and a flower-shaped floor. From here, you can access the Great Hall, with its characteristic petal shape, as well as the rectangular rooms and the canopy terrace on the north side of the building. This canopy is supported by a single tall pillar that gives it elegance and slenderness. Beneath its robust roof, a metal structure provides support.

In the center of the lobby is an imposing pillar, and elevators, walkways and stairs connecting to the upper levels can be found. The shapes inside the lobby do not follow conventional geometric patterns, and some areas are clad in stone while others are designed with glass. The largest room in the museum is the Great Hall, also known as the Fish Hall because of its distinctive exterior shape. It is an elongated room that houses large works of art, both temporary and permanent. In addition to the Great Hall, there are other petal-shaped rooms accessed from the lobby. In one of the straight-designed blocks, there are a series of rectangular-plan rooms arranged in a row, one after the other with no connecting corridors. Each floor houses three rooms, and to access the last room it is necessary to pass through the first two. Almost every room in the museum has skylights that provide fascinating overhead lighting.