The couple want a "swift and amicable" end to their ten-year marriage, reported Sun online. "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," a statement read.
The couple, who married in 2003, split after Saatchi was snapped grabbing Lawson's throat at a restaurant in Mayfair, central London.
He also received a police caution for assault. Mother-of-two Lawson, 53, is being represented by her cousin, celebrity lawyer Fiona Shackleton, who acted for Paul McCartney, Prince Charles and Madonna in their divorces.
Saatchi will represent himself. Saatchi made his 135million pounds fortune with the Saatchi and Saatchi advertising agency he formed with brother Maurice.
Lawson has made 8 million pounds selling cookery books. The rest of her 15million pounds comes from her cookware range and TV shows.