At 6.46pm Sunday 5 August local time, a magnitude 6.9 quake struck Lombok, with the epicentre located 18 kilometres south-west of East Lombok island.
The Indonesian archipelago, where Lombok and Bali are located, is part of the Pacific Ring of Fire, a 40,000-kilometer (25,000-mile) area of intense seismic and volcanic activity where most of the world's earthquakes occur.
The death toll had risen to 91 and will "definitely increase", he said, adding that two of the deaths were in Bali and the rest in Lombok.
Rescuers are still struggling to reach survivors of the deadly Indonesian quake that has killed at least 91 people.
Witnesses said the quake woke up residents and tourists, who ran out of their hotels.
The agency said small tsunamis measuring 10 centimeters and 13 cm in height were detected at Carik Village in North Lombok and Badas in Sumbawa Island, respectively.
Most Kiwi visitors fly into Denpasar airport in Bali, which is just a short flight or boat ride from Lombok, she said.
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"Our thoughts and prayers are with the people of Indonesia, particularly the people of Lombok, where the natural disaster occurred", Mr Turnbull said.
Another strong natural disaster has struck Indonesia's popular tourist island of Lombok. He said the quake "was powerful enough to put us on the floor" and cut power.
"This quake was certainly felt in Bali, buildings in Kuta were even damaged".
"This is it for me in Indonesia", she said. We are staying in a treehouse and it was swaying like insane.
The Minister, who is attending a security conference in Mataram, Lombok, described the situation in an update on Monday. "It was quite impossible to stand up", he said.
"We are getting some aid from volunteers, but we don't have proper tents yet", said a 50-year-old villager sheltering with his wife and children, who gave his name only as Marhun.
One day on, the usually-picturesque holiday hotspot is a scene of mayhem as panic-stricken tourists look to make their getaway as officials evacuate the islands.
"There have been a number of events worldwide recently, such as earthquakes, cyclones and volcanoes which highlights the importance of travel insurance and we recommend anyone soon to travel overseas make sure they purchase travel insurance at the time of booking", Matson said.
Rescuers still have not reached some devastated parts of the Indonesian tourist island of Lombok after a powerful quake flattened houses and toppled bridges.