A Georgia cop who claimed his wife killed herself has been charged in connection with her murder, authorities said.

Eatonton Police Officer Michael Perrault, 43, was arrested late Wednesday in the death of 44-year-old Amanda Pardue Perrault, who was found with a fatal gunshot wound to the head at the couple’s home near Lake Oconee on Monday, Putnam County Sheriff Howard Sills told The Post.

Perrault, who told authorities his wife suddenly shot herself during an argument, was taken into custody at the home of his sister in Newton County, Sills said.

The sheriff declined to indicate whether Perrault — who had been placed on leave following an earlier arrest on charges of simple battery, family violence and cruelty to children — said anything while being taken into custody Wednesday.

“He has,” Sills told The Post when asked if Perrault had been charged with murdering his wife, declining further comment ahead of a press conference scheduled for 11 a.m. Thursday.

Sills had previously said that Amanda Perrault, who was pronounced dead in the couple’s bedroom, was shot once in the head with a .380-caliber handgun during an argument between the couple.

“The bottom line is that he says they were arguing and then she suddenly produced a gun and shot herself,” Sills told the Union Recorder. “I’ve either got a suicide or a murder. That’s what I have. I mean it’s just that simple. It could be either way.”

Perrault claims he saw his wife pick up the gun from a nightstand and shoot herself while in bed, Sills said.

The officer called Eatonton Police Chief Kent Lawrence to report his wife’s death. Perrault was later interviewed by detectives for two hours, with Sills declining to indicate what was said during that meeting.

“Apparently there was a lack of tranquility since the officer’s [family violence] arrest last week,” Sills told the newspaper.

Perrault was arrested on Jan. 28 after an argument with his wife allegedly turned physical. He has denied pushing and hitting her, the Union Recorder reports.

The officer admitted he had been drinking and taking prescription medication prior to the alleged confrontation, which the couple’s 8-year-old daughter witnessed, authorities said.

The girl was at school during the time of her mother’s death, the newspaper reports.