More than 14 people have died, the BBC reports, with more than 150 injured.
The magnitude 6.4 earthquake struck shortly before 7am on Sunday (July 29).
Lombok, situated around 25 miles east of Bali, is popular for its beaches and walking trails.
Some 60 smaller earthquakes struck following the initial incident.
More than 500 climbers are still understood to be trapped on volcanic Mount Rinjani.
A spokesperson for the national park said 500 were trapped in the Segara Anakan area and a further 60 in Batu Ceper.