A Minneapolis homeowner demanded to know why a cop responding to a burglary call shot her two dogs at point-blank range — after one approached wagging his tail.

Surveillance video shows the unidentified officer with the Minneapolis Police Department walking backwards in a back yard with his gun drawn when a Staffordshire terrier — named Ciroc — walks toward him wagging his tail Saturday night. The cop suddenly fires his pistol, hitting the dog in the jaw before the animal runs off.

“He was wagging his tail,” the dogs’ owner, Jennifer LeMay, told the Minneapolis Star Tribune. “My dog wasn’t even moving, lunging toward him or anything.”

Just as Ciroc is shot, a second Staffordshire terrier named Rocko darts into the frame, prompting the cop to fire again, striking the dog in the side, face and shoulder before the officer calmly hops a 7-foot wooden fence out of the yard.

The dogs survived, but LeMay says the family is suddenly overwhelmed by the vet bills after the shooting. Ciroc is back home after a $900 vet bill, but still needs up to $7,000 in surgeries at the University of Minnesota. Rocko, meanwhile, returned home late Sunday. Both dogs are emotional support animals prescribed by a doctor for LeMay’s sons, who have severe anxiety, she said.

“My dogs were doing their job on my property,” she told the Star Tribune. “We have a right to be safe in our yard.”

Corey Schmidt, a police spokesman, declined to identify the officer seen in the video, but told The Post more information would be released later Monday. He told the Star Tribune on Sunday that the incident was under investigation.

“We are aware of the recent incident involving MPD officers responding to an audible residential burglary alarm and while at this call an MPD officer discharged their firearm, striking two dogs belonging to the homeowner,” Schmidt said in a statement. “Anytime an officer discharges their firearm in the line of duty there is an investigation. We are in the process of reviewing the video posted online, as well as the officer’s body camera video.”

LeMay said she was camping with relatives in Wisconsin on Saturday while a friend watched the dogs at her home. One of LeMay’s daughters, however, came home earlier than expected and accidentally triggered the home’s alarm system. Two officers responded to the home about 20 minutes after LeMay called the security company to deactivate the alarm, she said.

Another officer stopped by LeMay’s home late Sunday to apologize for the incident and was “as genuine and compassionate as he could be, without overstepping his boundaries,” she said.

A GoFundMe page created to help offset medical bills for the dogs had exceeded $16,000 as of Monday.