Nigella Lawson and Charles Saatchi have declared that neither of them will make a financial claim against the other in their divorce proceedings.
Ms Lawson, 53, and Mr Saatchi, 70, both worth millions, said the divorce will be “undefended” and a decree nisi will be pronounced before the end of July.
The pair separated in the aftermath of photographs being published in which Saatchi was seen holding his wife by her throat, and although he dismissed the incident as a "playful tiff" and said he "abhorred violence", he agreed to accept a police caution for assault. Mr Saatchi then announced his decision to file for divorce.
They also confirmed that Fiona Shackleton, the lawyer who represented Sir Paul McCartney during his divorce from Heather Mills, was working on behalf of Ms Lawson to bring the matter to a "swift and amicable" conclusion.
A statement issued on behalf of Ms Lawson and Mr Saatchi said: "Following the separation of Nigella Lawson and Charles Saatchi there has been much inaccurate speculation in the press over the weekend.
"Nigella and Charles would like to clarify the position. We can confirm that Fiona Shackleton is acting for Nigella Lawson to ensure a swift and amicable resolution. A divorce will proceed on the undefended basis, the decree nisi is to be pronounced on 31 July, and neither party will be making any financial claims against the other.
"Contrary to some reports, Charles Saatchi has not consulted lawyers and has represented himself throughout.
"Both parties would appreciate privacy for themselves and their children at this difficult time."
TV chef Ms Lawson married advertising executive Mr Saatchi in 2003.