Police are urging the public to exercise some caution when receiving unverified information about Friday's LynnMall attack, through social media platforms.

While the investigation into the horrific event at LynnMall on Friday afternoon is ongoing, police have been made aware of some false information being shared on social platforms, says Commissioner Andrew Coster.

"I would urge anyone who comes across this type of information to be aware that much of what is circulating on social media platforms, is either false, or inaccurate.

"It is natural for some communities to feel more exposed to negative views. Police are working very hard with our community liaison staff to ensure local and ethnic communities feel well informed and supported."

Coster says the events at the supermarket on Friday were the actions of the deceased, who police have named as Ahamed Aathill Mohamed Samsudeen, alone, whose views were not representative of any community, and we are not seeking anyone else.

Police say Suamsudeen stabbed seven people at Countdown LynnMall.

He was shot by police after approaching them with a knife and died at the scene.

Four of the seven injured in the attack are in a stable condition, while three remain in Auckland Hospital's ICU.

"I want to reassure our community, including our ethnic communities, that we are doing everything we can to ensure their safety," says Coster.

"We are conducting high visibility reassurance patrols around places of worship and places where the number of people gathering may be larger than normal, such as at essential services.

"We will be out and about in our communities ensuring people are and feel safe.

"We have also been engaging with a number of ethnic community leaders."

Coster says police want to encourage anyone who has been subjected to behaviour that puts them at risk, to contact Police.

"People have an absolute right to feel safe going about their normal activities.

"If you at any point feel unsafe call 111."