U2's Bono and The Edge have written new songs for the musical, which shut down earlier this year.
The relaunched production will also feature new choreography and a revamped story, reports Rolling Stone. Producers have confirmed that the show will return to the stage on June 14.
Broadway veteran Phil McKinley replaced original director Julie Taymor in March.
Taymor, who resigned from the production, previously expressed frustration over the negative reviews that the musical received during her time as director.
It was previously reported that changes to the musical could include a strengthening of the love story between Peter Parker and Mary Jane, a clarifying of the Green Goblin's role in the play, and a reduction in the appearances of the villain Arachne, created by Taymor.