Charles Saatchi and Nigella Lawson confirmed they would not make any financial claims against the other, ruling out prolonged legal arguments.
Earlier this year Saatchi accepted a police caution for assault after photographs emerged appearing to show him holding his wife by the throat.
Saatchi later told the Mail on Sunday the pictures gave a "wholly different and incorrect implication".
But he also told the newspaper: "I feel that I have clearly been a disappointment to Nigella during the last year or so, and I am disappointed that she was advised to make no public comment to explain that I abhor violence of any kind against women, and have never abused her physically in any way."
More top news
Blind Date and Surprise Surprise star Cilla Black,72, has died, according to reports.
Jericho the lion, who it had been claimed was shot dead yesterday by poachers in Zimbabwe, is "alive and well", conservationists have said.
A hitchhiking robot that won the hearts of fans worldwide has met an untimely end after being vandalised on its trip across the US.