Prime Minister Jacinda Ardern was met by protesters ahead of her meeting with CTV victims' families in Christchurch on Thursday.
Protesters gathered outside the Christchurch Art Gallery to voice their frustration at unsettled earthquake insurance claims to the Prime Minister and Greater Christchurch Regeneration Minister Megan Woods.
Ms Ardern said the outstanding claims were "just not good enough".
"I know it'll be frustrating because you've waited seven [years] and you want us to move as quickly as we can. We are working as quickly as we can."
She said Ms Woods has advocated for years and the government was finally in a position to make some tangible changes.
"I think New Zealanders would be astounded to know how many of you are still having to battle to get what you believe and what most people believe when they are insured are rightly entitled to."
Ms Ardern will meet the families of the victims killed in the CTV building collapse, who are hopeful for a review of the police decision not to prosecute over the collapse of the building.
One-hundred-and-fifteen people were killed including 65 foreign students when the building collapsed after the February 22, 2011 earthquake. It accounted for the bulk of the quake's 185 deaths.
Police announced in December they would not be prosecuting the engineers responsible for the building, saying they were unlikely to get convictions.