Last Monday a 7.5 magnitude earthquake struck the heart of the island near the Southern Highlands area.
More earthquakes have continued to hit the island in the aftermath of the initial hit.
The most recent one was recorded at 10:38pm on Friday at a magnitude of 4.8.
The Red Cross estimated that 2000 people are in need of urgent emergency supplies.
The death toll climbed to 31 and is set to continue to increase.
A state of emergency was declared in the provinces of Southern and Western Highlands, Hela and Enga.
Extra funding has been given by neighbouring countries and aid organisations including the Red Cross.
Around 670,000 people live within 100 km of the epicentre, according to the Red Cross.
Most of the other confirmed fatalities were in or around the provincial capital of Mendi and the town of Tari, 40km from the epicentre.
Hela province’s administrator, William Bando, said: “Our people live in scattered hamlets and people are dying slowly – the only means of rescue is through helicopters and they are hardly coming.”
Papua New Guinea’s prime minister, Peter O’Neill, called the earthquake “an unprecedented disaster” and said his government had released funding to restore essential public services such as healthcare, schools, roads, airports, power and communications.
He added: “Cabinet has further approved the establishment of a restoration authority that will manage long-term reconstruction efforts over a four-year period to fully restore normalcy.”
The United Nations Office for the Coordination of Humanitarian Affairs said it had recorded large landslips between Mount Hagen and Mendi.
Two main health facilities have been victim to sustained damage because of the earthquake.
There was a decrease in the amount of clean water people had access too.
Power and communications damage was also widespread, with aftershocks expected to continue for weeks.
Udaya Regmi, head of the Red Cross in Papua New Guinea said: “The strong, shallow earthquake damaged or destroyed communication networks and infrastructure, so there is limited information on how people were affected and what they need.
“The situation is risky for people in need as well as for staff and volunteers. We are … working to get more clarity on the situation on the ground.”
Earthquakes are common in Papua New Guinea, which sits on the Pacific Ocean’s Ring of Fire, a hotspot for seismic activity due to friction between tectonic plates.