According to the lawsuit, the producers sent Ms. Taymor a check for $52,880 last week to cover royalties for preview performances through April 17: the date of the final preview before “Spider-Man” shut down for the overhaul. She is seeking continued royalty payments because, the lawsuit contends, “Spider-Man” still draws on many of her ideas.

The lawsuit also seeks an injunction against the unauthorized use of her name and likeness in a documentary film, made by the producers, about the making of the musical.

Mr. Spada did not return phone calls and e-mail messages seeking further comment on Tuesday.

Ms. Taymor did not respond to a telephone message left at her home on Tuesday. Her spokeswoman said that Ms. Taymor would not be commenting on the lawsuit, which was first reported by the Web site showbiz411.com.

In recent months the producers of “Spider-Man” have been facing hard financial choices. Since opening to mixed reviews in June, “Spider-Man” has been one of the top-grossing shows on Broadway, regularly pulling in between $1.4 million and $1.6 million a week. Yet the weekly operating costs for this technically ambitious production total more than $1 million, and the producers have also had to make payments on loans they took out to mount “Spider-Man,” a show twice as expensive as any in Broadway history. Given the size of the production and the creative team, the producers also have an array of royalty obligations to several different artists.

In spite of the high grosses, executives involved with “Spider-Man” have said privately that money is, in fact, quite tight and that the producers have had to set priorities about which debts to repay first. In addition to Ms. Taymor’s lawsuit and her separate arbitration claim, an investor in the musical, Patricia Lambrecht, recently filed a lawsuit against the producers, contending that she had not been paid on schedule for a deal in which she provided financial assistance so they could retrofit the Foxwoods Theater for the show.