In a hearing at London’s High Court which lasted less than a minute, District Judge Anne Aitken granted the couple a decree nisi - the first legal step to ending their 10-year marriage.
Saatchi, 70, and Lawson, 53, now have to wait for a decree absolute, which is usually issued six weeks and a day later, ending their marriage.
Neither the couple nor their legal representatives attended the hearing.
In Court 9 of the High Court’s building at First Avenue House, 13 reporters listened along with the district judge as an assistant read out Lawson and Saatchi’s names together with those of 14 other divorcing couples.
The judge asked: “Does any party or person wish to show cause against decrees being made or in the question of costs?”
A decree nisi is a statement saying the court sees no reason why a divorce cannot be granted.
It is thought the divorce will be rubber-stamped some time in September.
Pictures were published last month showing Saatchi holding his wife by the throat as they had an argument on the terrace of a restaurant.
He dismissed the incident as nothing more than ‘’a playful tiff’’ but then accepted a police caution for assault.
He said he had done so to stop the incident ‘’hanging over’’ them.
Lawson, who has subsequently been pictured without her wedding ring, has described him as ‘’the exploder’’ in the past due to his temper.
Saatchi later told the Mail on Sunday that 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.’’
The couple confirmed they would not make any financial claims against the other, ruling out prolonged legal arguments.
That is one reason why the so-called “quickie divorce” is progressing swiftly.
Court paperwork shows that Nigella Lucy Lawson applied to divorce Charles Saatchi on the grounds of his continuing unreasonable behaviour.
The marriage was said to have irretrievably broken down and an “order for financial relief” has been agreed between the petitioner and respondent.
On the petition before court, Lawson had ticked “Yes” to the question: “Is the respondent’s behaviour as set out in your petition continuing?”
Lawson also confirmed in the document that they were living apart.
The document was signed by the popular cook and self-styled “Domestic Goddess” on July 9.