LOS ANGELES — A call for a police boycott of the Weinstein Company’s coming film “The Hateful Eight” and other works by Quentin Tarantino has gained support from the National Association of Police Organizations and the New Jersey State Policemen’s Benevolent Association, expanding the backlash to remarks about police violence that Mr. Tarantino made at a rally in New York on Oct. 24.

A boycott — which had already been endorsed by police organizations in New York, Los Angeles, Philadelphia and elsewhere — picked up considerable strength with the endorsement last week by the national police group.

The organization represents more than 1,000 police units and at least 241,000 law enforcement officers. In a statement posted Thursday on its website, the group objected to what it called Mr. Tarantino’s “anti-police rhetoric,” and asked supporters both to boycott his films and to refuse to provide security or technical advice for his future projects.

Representatives for Mr. Tarantino declined to comment on Sunday.

According to an earlier report by The Associated Press, Mr. Tarantino — who has made an art form of cinematic violence in films like “Pulp Fiction” and “Django Unchained” — told a gathering organized by the RiseUpOctober group that he regarded some police shootings as murder. “I’m here to say I’m on the side of the murdered,” the report quoted the filmmaker as saying.