A heavily-armed woman was shot by the cops after a firefight near a Boy Scout camp in western New Jersey on Monday afternoon.

Police found the unidentified suspect at about 3:30 p.m. parked in a red sedan and clutching a handgun near the Mount Allamuchy Scout Reservation in Byram, about a half-hour east of the Delaware Water Gap, according to a statement from the Sussex County Prosecutor’s Office.

Officers brought in a crisis negotiator and tried to deescalate the situation, the statement said.

But the unhinged woman got out of the car — and a gun battle ensued.

Cops struck the suspect once in the neck during the firefight, then rushed her to Hackettstown Medical Center, where she is in stable condition, the prosecutor’s office said.

Authorities recovered all the guns in her car, apparently including several rifles.

Several officers were taken to a hospital for evaluation, according to the New Jersey State Police Benevolent Association.

“Please pray for the officers involved,” the union said in a social media post. “Thank you to all who reached out to check on our officers.”

It’s unclear who called authorities to the forested site, or why.

Byram Mayor Alex Rubenstein said town officials were “limited in what we can say at this time,” without explaining why.

“However, we can say that all of our officers are safe and there is absolutely no threat to the public in any regard,” he said.

“All we ask tonight is that you keep the officers and staff of the Byram Township Police Department in your thoughts and wait for further official information to come out over the next few days.”

The county prosecutor and the New Jersey State Police are investigating the incident.