The incident occurred on Sunday and involved a local artist identified in reports as Maximo Caminero, who is believed to have been protesting the museum's focus on international artists at the expense of local ones.
The smashed vase echoes one of Ai's own photographic works that depicts the artist's dropping a ceramic vase from the Han Dynasty to the ground and smashing it.
Reports say that Caminero was charged with criminal mischief. In a statement released on Monday, the Perez Art Museum Miami said "evidence suggests that this was a premeditated act."
The statement said the museum is working with authorities on their investigation.