Divorce papers signed in August and today the American justice has formalized the split.
The former spouses agreed to joint custody of their 7-year-old son. Lauren is already expecting a baby with Cowell.
In addition, Lauren is also entitled to a little over $2 million, E! News reports.
Lauren is now free to marry the British producer, who is rumored to have bought an engagement ring and is about to propose.
E! News also reports that Lauren will be having a baby shower this weekend at a private residence in Los Angeles with close family and friends.