"There are still 560 people trapped. Five hundred are in the Segara Anakan area, and 60 are in Batu Ceper," Sudiyono said, as quoted by The Guardian.
The newspaper also said that a 184-member evacuation team had set off earlier in the day to rescue the climbers.
On Sunday, a 6.4-magnitude earthquake struck Lombok killing at least 16 people. The earthquake also caused landslides, which blocked some mountain trails.
READ MORE: Strong 6.4 Magnitude Quake Rocks Tourist Island in Indonesia — USGS
At its highest point of 3,726 meters (2,315 miles), Mount Rinjani is the second largest volcano in Indonesia and attracts many hikers and climbers.