According to National Disaster Management Agency spokesman Sutopo Purwo Nugroho, there were an estimated 820 people on the 3,726 meter (12,224 ft) mountain when the shallow 6.4-magnitude quake struck Sunday morning.
A powerful quake has struck a popular tourist destination in Indonesia, killing at least 14 people.
He said Monday about 300 of them had managed to get down the mountain.
The natural disaster caused major landslides in Mount Rinjani National Park, which is now closed, and many hikers reported being unable to get out of the park because of blocked roads.
The quake struck at 6:47am on Sunday when many people were still sleeping.
Magnitude 6.4. natural disaster strikes the Lombok Region of Indonesia less than a mile from Lelongken.More news: Danger to life warning as intense storms to end Britain's heatwave
More saddening pictures have emerged from many East Lombok villages following earthquakes.
The quake was centred 50km north-east of the city of Mataram on the northern part of Lombok island, the US Geological Survey (USGS) said.
He said as of 4 pm, two groups of Malaysian tourists (groups climbing Mount Rinjani in East Lombok Timur) had been given appropriate assistance by the Indonesian authorities.
There were reports it was also felt in Bali - 60 miles (100km) away - but there were no reports of damage there. The quake struck at 6.47 a.m.at a relatively shallow depth of 7 kilometers, which amplified its effect. Most of the people were still waiting outside their houses in fear of aftershocks, Metro TV said. More than 150 people were injured, many by collapsing buildings.
However, the region remains acutely alert to tremors that might trigger tsunamis.
Indonesia is located on the geologically active Pacific Ring of Fire and regularly experiences earthquakes and volcanic activity.
In December 2004, a massive 9.1-magnitude quake off Sumatra triggered a tsunami that killed 230,000 people in a dozen countries.