Publicist Melissa Booth said Monday that Jackson was "doing well" but would be in the hospital for at least a few more days. She said doctors expect Jackson to make a full recovery.
Jackson was admitted to Wellington Hospital last Wednesday after complaining of acute stomach pains. His illness has delayed the start of filming of "The Hobbit," the two-part prequel to his Academy Award-winning Lord of the Rings trilogy.
Production of "The Hobbit" had previously been troubled by financial issues and the departure of its initial director Guillermo del Toro.