Sutopo Purwo Nugroho, a spokesman for the country's disaster agency, said most people were injured when they were hit by debris and falling blocks of concrete. He says several people have been injured.
A Malaysian climber who was on a hiking trip to Lombok is reportedly among those killed.
Thai diplomats based in Jakarta have coordinated with Indonesian officials to pick up the 174 Thai mountaineers who had already come down from the national park.
"The quake was very strong. and everybody in my house panicked, we all ran outside", he said.
Handout photograph taken on July 29, 2018 from Nusa Tenggara Barat Disaster Mitigation Agency shows show an Indonesian scrambling over the collapsed ruins of a house following a 6.4-magnitude quake in the Indonesian island of Lombok, today.
"The main focus now is evacuation and rescue". By late afternoon, more than 250 people had reached a relief post in Sembalun village and a team of rescuers has reached hundreds more near the mountain's crater lake, a local military official, Arifianto, told Indonesian TV.
"It happened so suddenly at around six in the morning", said survivor Sita Sumarni, whose young son was inside her house when the quake hit.
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Villagers clear debris caused by an natural disaster at Sajang village, Sembalun, East Lombok, Indonesia.
Lombok island authorities have temporarily shut down the hiking trail on Mount Rinjani, fearing landslides, Nugroho said.
According to the United States Geological Survey, the natural disaster hit about 11:47 Mountain Standard Time with its epicenter located 80 miles northeast of Mataram on the island of Lombok.
The death toll following the eruption now stands at 16, with more than 335 people injured as buildings collapsed.
Indonesians scramble over the collapsed ruins of a house as others look on following an quake in Lombok.
It said two of the aftershocks measured more than 5-magnitude. In 2004, a 9.1-magnitude quake near Sumatra prompted a tsunami and led to more than 230,000 deaths.