Welsh hunk Yeoman wed Davis, best known for her role in the British version of The Office, in 2006 in a lavish ceremony at London's St. Paul's Cathedral.
However, the pair has decided to separate after four years of marriage.
In a joint statement, they say, "We have separated but are on good terms and would kindly ask for our privacy to be respected during this time."
According to Britain's Mail on Sunday, Davis hinted that the couple was trying to make its marriage work, telling reporters, "All I can say is that we are not over."
Davis is the daughter of British comedian Jasper Carrott.