It also accuses Mattel of negligence, selling products unfit for sale, and violating California consumer protection laws.
The musical Wicked, based on a book inventing the backstory of the Wicked Witch of the West, premiered on Broadway in 2003 and has been running on the West End for two decades.
The film adaptation with Ariana Grande playing Galinda and British actor Cynthia Erivo starring as Elphaba was released in the US and UK on 22 November.
According to Box Office Mojo, since its release last month, it has grossed $263.2 million in the United States and $360.3 million worldwide.
Mattel has been approached for comment.
