Williams, 31, is being charged with battery after brawling with Moore, 43, during the March 27 taping. She will surrender to the Fulton County jail on Thursday, her attorney tells PEOPLE.
"We anticipate that she will post a bond and be released shortly thereafter," Joe S. Habachy says in a statement. "She is charged with one misdemeanor count of simple battery. … Cast member Kenya Moore sought out the warrant and, although the claim is unfounded, Ms. Williams is fully cooperating with investigators and looks forward to clearing her name."
According to an incident report obtained by PEOPLE, Moore called police on the day of the special's shooting and said she had been assaulted by a cast mate – but declined to fill out a witness statement to move the process forward.
"Mrs. Moore stated, at this time she was unable to fill out any statement due to the fact that she had to be on the movie set to start filming," the responding officer wrote. "I also advised Mrs. Moore that she can always call back whenever, she had the time to continue."
Williams and Moore argued all season long over Williams's estranged marriage to former football player Kordell Stewart (Moore alleged he is gay), and tensions boiled over during the reunion.
"There was definitely some hair pulling, but no one was injured," a source told PEOPLE at the time. "It was broken up so quickly that nothing serious happened."
Host Andy Cohen confirmed the fight during a recent episode of his web series @sk Andy.
"To me, it came out of nowhere. The other women felt that Kenya kind of provoked her a little bit and was provoking her," he said. "I think I was just so shocked and so surprised, and I was just really upset. I don't want that happen. I think it's gross, and I think it's just totally inappropriate, it's wrong, it's not entertaining. It's just bad."
With reporting by MICHAEL FLEEMAN and EMILY STROHM