A cop killer paroled after nearly 40 years in prison has been busted four times in the past 12 months, sprung from jail three times, and is now demanding his freedom yet again — an “appalling” slap in the face to the dead officer’s family, they said.

Bruce Lorick, 66, murdered NYPD Officer Joseph Keegan, 40, on June 19, 1980, shooting him in the head with the cop’s gun when he tried to stop him for jumping a turnstile inside the Columbus Circle subway station on the Upper West Side.

Lorick was sentenced to 25 years to life for second-degree murder and was in Shawangunk State prison until his release on lifetime parole in April 2021, online records show.

Eight months later, in December 2022 he was arrested for strangulation, a police source said.