The Government has made an initial $750,000 donation to support relief efforts in Tonga, including helping with emergency shelter, and providing clean water and sanitation.
An extra $50,000 in emergency funds has been sent to the NZ High Commission in Apia, Samoa, to help Samoan relief efforts.
"As we get a clearer picture of demand, we will be ready to answer in response."
Peters said the Government was ready to help with longer-term recovery and reconstruction.
"Following previous events, New Zealand has, for example, helped get the power network back up and running, has repaired schools and other government infrastructure, and ensured clean water is available."
He said that extreme weather events in the Pacific were more likely as the impacts of climate change take hold.
"This phenomenon is particularly serious in the Pacific, which is increasingly vulnerable to tropical cyclones as well as rain events.
"This Government will increase its efforts to invest in risk reduction in climate-change adaptation in the Pacific to improve resilience in the region to natural disasters."
Earlier today Prime Minister Jacinda Ardern said there were also pre-positioned supplies already on the ground that aid groups could distribute immediately.
New Zealand deployed a large force to help the clean up after Cyclone Winston in 2016, including two ships, six aircraft and almost 500 personnel.