The 33-year-old is said to have submitted paperwork on Monday, just a day after his spouse of eight years, Melissa, said she planned to file for divorce after pictures emerged of him vrying with Topshop heiress Chloe Green.
The point of the filing is to ensure all their assets are separate, and reports TMZ, Jeremy is seeking joint physical and legal custody of their son, seven-year-old Jeremy Jr.
In the filing, Jeremy lists the date of separation as 24 June - just four days before he was pictured locking lips with Chloe.
He had travelled to Turkey with the fashion heiress. They were pictured vrying on board a boat after they met at the Cannes Film Festival, but Melissa greeted her husband on his return to the US with the news that she wanted a divorce.
She explained at the weekend: “We had it out on the doorstep. I told him how devastated and angry I am. He kept apologising - not for the affair, but for the way I learned about it.
“I feel humiliated, not just because my husband was caught with another woman but for the fact they were so brazen about it.”