In July, the show's four leads - Parker, Kim Cattrall, Kristin Davis and Cynthia Nixon - came aboard for the film after New Line Cinema agreed to finance and distribute it.
Chris Noth also joined the cast to reprise his role as Mr Big.
Michael Patrick King is writing and directing.
Hudson, who won an Oscar for her role in Dreamgirls, recently completed production on the ensemble drama Winged Creatures starring Kate Beckinsale, Forrest Whitaker, Jackie Earle Haley and Dakota Fanning.
The former American Idol contestant is also in the studio working on her debut album for Arista Records. © 2007 Australian Broadcasting Corporation
