All three men shot and killed by Hono­lulu police this year had crystal meth­am­pheta­mine in their bodies when they aimed guns toward officers and were killed. They also had criminal rec­ords and had served prison time.

Herbden Gabriel, 46, died Tuesday of injuries to his lung and an artery after sustaining a single gunshot wound to his chest, the Hono­lulu Medical Examiner’s Office said yesterday.

Preliminary toxicology results showed he tested positive for crystal meth­am­pheta­mine, medical examiners said.

Gabriel, 46, was shot by a police officer who pursued him after a robbery at the Wai­malu Shopping Center on Tuesday afternoon.

Police said Gabriel was ordered to drop his weapon and was shot after he waved his gun and then lowered it toward the officer. Medical examiners said he was struck once in the chest.

Police and witnesses said Gabriel was running from the shopping center after robbing a woman at Pukana La Massage on the second floor of the center.

The two other men killed by police this year also had crystal meth in their systems, medical examiners said.

Michael Kahana Davis was shot Feb. 22 in an office at the Surf Line Hawaii factory on Kalihi Street. Police said they chased a man across the street from the scene of an apparent auto theft. In that case the suspect and officer both fired at least one shot. Davis, who was shot in the head, died two days later.

Mark Ahnee was shot and killed April 14 while fleeing from police on Aina­koa Avenue. Police said Ahnee was one of two men who stole several cars before police caught up with them on Kalanianaole Highway. Ahnee aimed a shotgun toward police and was shot twice in the torso, police said.

Gabriel has a record of 11 criminal convictions from 1984 to 2001, including kidnapping, robbery and assault. Prison rec­ords show he was paroled on March 16, 2006, after serving nearly five years on forgery charges.

Gabriel was under the supervision of a parole officer until March 30, 2009, when he was discharged, said Tommy Johnson, paroles and pardons administrator for the Hawaii Paroling Authority. The discharge took place three years and nine months early due to good behavior, Johnson said.

Johnson declined to go into specifics of Gabriel’s release, citing Hawaii privacy laws.

During parole, parolees are drug-tested regularly.

Davis, 50, had 16 felony convictions for offenses such as robbery, kidnapping, auto theft and terroristic threatening, according to the Hawaii Criminal Justice Data Center. In 2000 he was sentenced to 10 years in prison for robbery, but he was released from prison a year later, according to the Department of Public Safety.

Ahnee, 28, was on parole for two 2002 second-degree burglary convictions when he tested positive for meth and marijuana use on April 7. The paroling authority issued a warrant for his arrest half an hour before the April 14 shooting after he failed to show up for a meeting with his parole officer earlier that afternoon. Ahnee was also convicted of robbery in 2002 and car theft in 2001.