But Douglas spokesman Allen Burry said: "They have not split. The story is not true."
Zeta Jones representative Cece Yorke also added separately that it "was not true."
The gossip magazine alleged that the marriage "buckled under the pressure of dealing with Michael's cancer battle, his son Cameron's prison term on drugs charges and Catherine's struggle with bipolar II disorder."
The magazine claimed that the 68-year-old actor had moved out of the home he shared with the actress and their children Dylan, 12, and nine-year-old Carys.