The quake comes a week after a magnitude 6.4 quake killed 14 people on the island and prompted a large-scale evacuation of a volcano popular with hikers.
A tsunami warning has been issued for the quake, which occurred at a depth of 10 km (6.2 miles), the agency said.
The latest quake, which triggered a brief tsunami warning, also shook neighboring Bali island.
The model and prolific tweeter, 32, jumped on social media as a magnitude 7.0 natural disaster rocked Lombok and aftershocks shook the holiday home she is staying in sparking a tsunami warning.
Michelle Lindsay, an Australian tourist, told the paper: "All the hotel guests were running so I did too".
Iwan Asmara, an official from the disaster mitigation agency, said residents were fleeing from their homes in a panic to move to higher ground.
Community Shield: Pep Guardiola confirms injury boost for Manchester City
Saturday will mark the tenth anniversary of Sheikh Mansour's purchase of the club and what a transformation he's made. Riyad Mahrez is their first and probably last transfer in and no big names are likely to leave.
Agent urges Chelsea to let Courtois go
The failed Pickford move means Chelsea believe they have exhausted their options in terms of a replacement for Courtois . The 26-year old Courtois want the move to happen but is reluctant to do anything unnecessary to hurt the team.
Jurgen Klopp confirms Liverpool quartet will miss Napoli game
Following Saturday's tie against Napoli , Liverpool round off their pre-season with a Tuesday night fixture against Torino. "It's pretty likely [he will play against Napoli]", Klopp told Liverpool's official website .
Tourists on the island reported some of the immediate effects.
Chrissy, her husband John Legend and the couple's two children, two-year-old daughter Luna and baby son Miles, have been enjoying a family holiday in Bali.
Other witnesses said the initial quake grew in intensity over several seconds, rattling windows and doors in their frames, and there were many aftershocks. "Trembling. So long." In another post, she added: "So many aftershocks".
In her first online message, she said: "Oh my god".
"It felt like a ride", she wrote.