People in Wairoa would now see an increased armed police presence, Chapman said.
"We are committed to working with the Wairoa community to ensure they and our staff can feel safe and be safe.
"Police take threats against our staff incredibly seriously and support measures are being put in place for our staff and their families to ensure their wellbeing and safety."
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Chapman said police officers were part of their community "and they have a right to feel safe both while on the job and when off shift".
"Everyone has a role to play in ensuring Wairoa is a safe place. There will be people in the community who have information in relation to these two incidents. We encourage you to come forward and speak with the investigation team."
Police Minister, and Napier MP, Stuart Nash, said the attack on Wairoa police is an "attack on the values of our local community".
"Police and their families are a permanent part of Wairoa and are committed to living in the town they serve. I am very concerned for the safety of local officers and their families. I know these people and am relieved no one was injured."
Nash said he had discussed the shootings with top police commanders in Wellington on Monday morning.
Police are believed to have met with the mayor and iwi on Monday afternoon.
Wairoa mayor, Craig Little said it was a "shameful act".
"I can't believe people would think they could shoot at someone's house, not thinking they could easily kill someone."
Little said he had spoken with police. "I hope we use every resource available because it is an absolute cowardly act."
Wairoa resident and former police sergeant and prosecutor, Chris Flood said: "..to actually target a policeman's home is a bloody serious thing".
He said the police are going to be "relentless in their search for the offenders in relation to this matter. So they should, and that's what would be expected within any organisation where you've got idiots targetings people's families - that's just not on."
Flood retired in 2017 after 41 years in the job, and believed it was "quite a rare occurrence".
"I think in the past it was basically an unwritten law amongst the criminal fraternity that that's one area you don't go because automatically it's just going to bring the heat right down on top of you."
He urged members of the community to come forward if they knew any information.
"What is a real ****-off is that there's a lot of people out there that probably have a lot of information, that don't come forward when really it's their job to come forward to help the police in something like this.
"But they don't, and they're very quick to criticise." He said the community can make the job of the police "a lot easier and make the town a lot safer" if they were not "intimidated by the idiots out there".
Nash noted one of the objectives of the Government's firearms reforms is to stop weapons falling into the wrong hands.
Since March Police have seized more than 1400 firearms from gangs and others who hold them unlawfully, he said.
"Every month police turn up to 200 incidents where a firearm is involved. Police intelligence indicates most illegally-held firearms are stolen from legitimate owners. The use of firearms affects everyone in our community, whether they own one or not. Successive governments have known for decades that our gun laws are dangerously out of date."
