The couple, who got married in 2000, faced tough times with Douglas suffering from throat cancer and Zeta Jones seeking a rehab to cure Bipolar II disease
Now, they wish to forget the bad old times and strengthen their marriage.
''They want to put a few difficult years behind them. It will be a private affair in Bermuda," dailystar.co.uk quoted a source as saying.
They have two children, Dylan Michael Douglas , 12 and Carys Zeta Douglas, 9.
Mumbai Roundup: 9 incidents that took place this week
Photos: Ajay Devgn, Parineeti, Tabu at 'Golmaal Again' trailer launch
Photos: Dipika Pallikal Karthik oozes oomph in bikinis and sarees
Photos: Kareena Kapoor Khan's grand birthday bash
Photos: 'Dangal' girls Sanya Malhotra, Fatima Sana Shaikh's dinner outing