The Britain’s Got Talent judge, 44, and Dutch supermodel, 31, will apply to end their relationship before a judge at London’s Central Family Court.
The case was listed as Williams D E v Stone L C in matrimonial and civil partnership proceedings before District Judge MacGregor.
If the judge approves the ex-couple, who are applying for a decree nisi or separation order, could see their five year marriage ended in six weeks.
Lara moved out of the couple’s home for rented accommodation after they split in March.
She left with their two-year-old son Alfred and dog Bertie.