Page Six reports the two reached a settlement in a New York court on Thursday.
The gossip section to the New York Post reported that Thurman blew kisses at reporters assembling at the courthouse.
Recall, last month, she got lots of press for yelling at the press for covering the custody case.
“Everybody compromised a bit,” Manhattan Supreme Court Justice Matthew Cooper said about the settlement. “I think it was all done to make one person happy and that one person is Luna.”
Thurman gave a thumbs up to reporters as she left the courthouse, signaling that the yet-to-be-revealed terms were agreeable to her.
Busson sued her in 2014 to get more time to see his daughter.
Thurman has two other children with ex hubby Ethan Hawke: 17-year old daughter Maya, 17, and 13-year old son Levon.
Busson has two sons with ex-girlfriend, supermodel Elle Macpherson: 17-year old Flynn, 17, and 12-year old Cy.FREE Fertility 100 ebook. Hunting for Top Maternity or Kids Brands? Our Bellyitch 100 is the free resource for you. Baby Shower Shopping? Check out out Top Picks on Amazon or our Gift Guides.