Taymor, who departed the much-maligned show in March (11), filed a claim for $500,000 (£312,500) in June (11), stating that she had not been fully paid for her work on the production and was still owed fees for helping to create the $70 million (£43.75 million) stage spectacular.
Officials at the Stage Directors and Choreographers Society lodged an arbitration claim against producers on Taymor's behalf in June (11), and she is now also suing show bosses for violating her creative rights.
Her lawyer, Charles Spada, filed suit on Tuesday (08Nov11) in New York federal court.
In a statement, Spada claims, "The producers' actions have left her with no choice but to resort to legal recourse to protect her rights...
"Producers have failed to compensate Ms. Taymor for their continued use of her work to date, despite the fact that the show has consistently played to capacity or near-capacity houses since its first public performance in November 2010."
Producers Michael Cohl and Jeremiah J. Harris previously declared they are not under any obligation to pay royalties to Taymor, insisting she was dismissed for "breach of contract".
The musical, which features music by U2 stars Bono and The Edge, opened for previews last year (10), but suffered a number of setbacks and cast injuries before the curtain officially went up in June (11).