July 15, 2016 01:50 PM

They’re uncoupled.

More than two years after Gwyneth Paltrow and Chris Martin announced their “conscious uncoupling,” the pair are officially divorced, PEOPLE confirms.

The duo reached a divorce settlement in May, and their judgment was entered into a Los Angeles County courthouse on Thursday.

According to the settlement, the couple have entered into a written agreement regarding their property and child support, and agreed that neither will ever ask for spousal support. They have chosen not to file the agreement with the court at this time, but can do so later if either party wishes the court to settle a disagreement.

The pair first announced the end of their 10-year marriage in March 2014, revealing their split in a post titled “Conscious Uncoupling” on Paltrow’s Goop website.

“We have come to the conclusion that while we love each other very much we will remain separate,” they said. “We are, however, and always will be a family, and in many ways we are closer than we have ever been.”

VIDEO: Gwyneth Paltrow and Chris Martin Reach Divorce Settlement

Remaining true to their word, the pair have maintained a close bond since their split, vacationing together and co-parenting daughter Apple, 12, and son Moses, 10.

In May, the foursome celebrated Apple’s birthday at Disneyland, with Paltrow posting an Instagram photo of herself and Martin opting out of a ride on Thunder Mountain.

Just last month, Paltrow attended Martin’s concert in Cannes, followed by another concert days later in Scotland alongside their kids.

Paltrow said in a recent interview in Cannes that although her split has been “difficult,” she’s happy they have been able to amicably co-parent.

“As anybody who has been divorced knows, you have to put a lot aside to maintain the family and the practicalities of what that might mean and sometimes that’s quite tough on a personal level,” Paltrow explained. “It’s a commitment I make every day to my children and their father even though we’re not in a romantic relationship.”

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