The second quake struck about 5km (3.1m) south of the village of Belanting at a relatively shallow depth of 20km (12.5m), the United States Geological Survey (USGS) said. The strongest had a magnitude of 6.8.
Sutopo Purwo Nugroho, a spokesman at the national disaster mitigation agency, said on Monday relief and reconstruction efforts had been "intensified".
Sunday's quake measured magnitude 6.3 and was at a depth of 7.9km (4.9 miles).
More than 1,800 homes were damaged, at least half of them severely, he said.
Dwikorita Karnawatim, who heads Indonesia's Meteorology and Geophysics Agency, said buildings that haven't collapsed so far have suffered repeated stress, and authorities have urged people to avoid both the mountain's slopes and weakened buildings.
Hotel staff in Neiafu told Reuters by telephone that they did feel the quake, but it did not cause any damage.
Power was still off across Lombok, several hours after the quake, and building collapses were reported.
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Officials said they were looking still assessing the situation following the latest quake on Sunday.
The last quake on 5 August displaced hundreds of thousands of people.
Landslides hit a national park where hundreds of hikers had been trapped after the first quake.
Footage shows dust and rubble tumbling down Mount Rinjani in Indonesia this morning (August 19) after two earthquakes hit the region in quick succession.
Rescuers and police officers walk on debris of a collapsed mosque in northern Lombok on August 9.
He said activity on the island was normal and Mount Rinjani, where hundreds of trekkers were stranded after the July 29 quake, was closed and there were no tourists there.
The earthquakes Sunday are in the Pacific Ring of Fire, an arc of fault lines circling the Pacific Basin.