Police Minister Troy Grant will meet with the police commissioner on Tuesday to discuss possible gun law reforms and what else can be done to avert another tragedy like last week's murder-suicide at West Pennant Hills.

Speaking to media on Tuesday morning, Mr Grant echoed Premier Gladys Berejiklian's comments from Monday that the government would come with an open mind to a meeting with Commissioner Mick Fuller over the issue.

Police Minister Troy Grant will begin talks on gun reform this afternoon in a meeting with the police commissioner. Jonathan Carroll

"I'm having a conversation with the police commissioner. Obviously there's been a lot of discussion about the horrific murder-suicide that occurred a few days ago that has shaken the nation," he said.

"We are meeting with our colleagues in this space to discuss what can be done to avert this sort of tragedy."

Mr Grant remained tight-lipped about what a potential reform package would look like and if it would involve tightening legislation that dictates firearms ownership.

"We need to get all the information, we don't do policy on the run," Mr Grant said.

The slain children: Jack, 15, and Jennifer Edwards, 13. Supplied

The state government remain committed to averting tragedies like last week's, where John Edwards drove to his ex-wife's home and fatally shot the couple's teenage children Jack and Jennifer, he said.

It was previously revealed that the NSW Firearms Registry informed the Ku-Ring-Gai Pistols Club in January last year that under no circumstances should Mr Edwards be given access to a firearm.

Despite this he was later able to join the St Mary's Indoor Shooting Centre, owned by the Sporting Shooters Association of Australia. He then obtained a firearms licence and permit before legally buying his weapons, including those used to shoot his children last week.

John Edwards was the legal owner of at least two handguns. Supplied

One option that has been tabled is the NSW police force working concurrently with the family court, gun clubs, doctors and other entities to improve the "information flow" between agencies, he said.

"It is a complex issue."

When questioned about current frameworks for reporting concerns about individuals, Mr Grant insisted there are mechanisms, but acknowledged that they may not have been well published in the past.

He said that promoting awareness of the options available to people who hold concerns could be a part of the government's response to the tragedy.

"You can ring triple zero or Crime Stoppers with any kind of intelligence, but whether that's as well known as it should be across the community may be one key component of what we need to do going forward from this issue," he said.

Mr Grant urged the public to hold Mr Edwards accountable for his role in the double homicide.

"Gun licences are issued on the assessment of a person's character," he said.

"The person has acquired a gun in the confines of the framework of the current system. But let's not forget the overriding fact is that we're talking about someone who is pure evil, who has done the unimaginable.

"The fact that firearms were used is a significant part of the story, but equally significant is that he had the actions and the mindset to carry out this.

"It's mind-numbing, to think that anybody has that capacity."