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.
Photos: Malaika Arora Khan in Bandra
Photos: Arjun Kapoor, Radhika Apte, Neha Dhupia at Mumbai airport
Photos: Aamir Khan, Amitabh Bachchan, other celebs at MAMI
Photos: Bipasha Basu, Preity Zinta, other actresses celebrate Karva Chauth
'Ae Dil Hai Mushkil' boys Ranbir, Karan on 'Comedy Nights Bachao'