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
Police are trying to find the driver of the car following the incident in Kingfisher Close, Brownhills.
An unnamed man died at the scene, while a woman was pronounced dead after being taken to St George's Hospital, Tooting, south-west London.
Eastern areas will see a few showers coming in on the northeasterly breeze