Mets closer Jeurys Familia has been busted on a domestic-violence rap in New Jersey — just weeks after he joined a new ad campaign condemning abuse, authorities said.

The All-Star righthander was arrested around 2:22 a.m. Monday after getting into a physical dispute with his wife at their lavish Fort Lee apartment, according to a source familiar with the situation.

He chose to give cops his middle name — Mojica — to try to keep the Mets from finding out about the incident, The Record reported.

Familia and his wife had been out celebrating a birthday before the incident occurred, the source said.

Records show that they were both born in October.

When the couple returned to their luxury high-rise for the night, they got into a heated argument and the police were eventually called, the source said.

Upon their arrival, officers found Familia’s wife, Bianca — whose name was originally redacted from the incident report — with scratches to the chest and a bruise to her right cheek.

“A law enforcement officer responding to the incident found probable cause to believe that domestic violence had occurred,” authorities said in a complaint filed in Fort Lee municipal court.

Familia lives with his wife and their 1-year-old son, The Record said. Residents confirmed to The Post on Tuesday that the couple lives at the new luxury apartment building at 800 Park Ave called “The Modern.”

“I’ve seen them a bunch of times. During the summertime they would be out on the deck,” said Esteban Lastra Jr., a 51-year-old neighbor. “You would never think that this was happening because he’s a really nice guy and she’s a really nice lady.”

After being taken into custody, Familia was charged with simple assault.

Court officials told The Post he was arraigned at the Fort Lee police station Monday and released on $1,500 bail, with an option to post 10 percent of that.

Familia, a native of the Dominican Republic, is due back in court Thursday.

He insisted he was innocent during a brief interview with Spanish-language reporter Hector Gomez on Tuesday.

“Somebody is trying to damage my reputation with this info. I’m at peace with my family,” Familia said.

Despite the arrest, Familia’s wife has said that she plans to stay with him, according to the source familiar with the situation.

The 27-year-old made headlines early last month after he teamed up with Yankees manager Joe Girardi and New York City Council Speaker Melissa Mark-Viverito for a National Coalition Against Domestic Violence ad campaign, dubbed #NotAFan.

The pitcher appeared in several public-service announcements, which aired on television stations, during Mets games and video billboards in Times Square.

“I am a fan of baseball. I am a fan of the Mets. I am not a fan of domestic violence,” Familia says in the ads in Spanish.

Mark-Viverito issued a statement Tuesday saying she was “deeply disturbed by the allegations’’ against Familia. She added that he has been axed from the ad campaign.

“We created #NotAFan so fans can communicate that domestic violence is absolutely unacceptable and to give a voice to fans who didn’t have one before,” Mark-Viverito said. “I will be reaching out to the Mets and the Familia ads will be removed from the campaign.”

The PSAs came after the council speaker called out the Yankees for pursuing Aroldis Chapman during his domestic-abuse probe, as well as the Mets for signing Jose Reyes when he was suspended last year for allegedly assaulting his wife.

The Mets said in a statement that they were “monitoring the situation” with Familia. MLB officials also said they were looking into the matter.

Familia was named to the National League All-Star team this year — amassing 51 saves and a 2.55 ERA.

He earned $4.1 million this past season.

Additional reporting by Kenneth Garger