After calling off their DIVORCE PROCEEDINGS a few weeks ago, it appears that Kroy Biermann and Kim Zolciak are headed back to DIVORCE COURT!

Kroy filed the divorce papers Thursday, obtained by TMZ, stating their marriage is “irretrievably broken.” He wants sole legal and sole physical custody of their 4 kids moving forward, and is asking for child support as well as alimony.

What’s more … Kroy’s asking for exclusive use of the marital residence, the same home he and Kim have shared through their ups and downs.

TMZ broke the story, Kim and Kroy filed separate divorce petitions back in May … and it got nasty fast. Kim accused Kroy of smoking weed — and being a potential danger to their kids — and he said she had a serious gambling addiction. It was also discovered the couple owed more than $1 million to the IRS.