It is the third big quake to hit Lombok in little over a week.
Both seismic events struck in Lombok's north, a more residential and less developed part of the island than the resort-filled south.
A humanitarian crisis is also looming in Lombok, where thousands have been left homeless and in desperate need of clean water, food, medicine and shelter.
So far, 355 aftershocks have been felt following Sunday's magnitude 6.9 quake, National Disaster Mitigation Agency spokesman Sutopo Nugroho said.
It said it did not have the potential to cause a tsunami.
The US Geological Survey has the tremor at a magnitude 5.9.
The number of confirmed deaths from an quake that hit the Indonesian island of Lombok on Sunday has risen to 259 and would rise as more victims are found in the rubble, the disaster mitigation agency said.
"People are always saying they need water and tarps", Spokesman Arifin Hadi told the AP about the current rescue efforts.
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Facebook apologised after users posting about a deadly quake in Indonesia on the social media platform saw their messages decorated with images of balloons and confetti.
Tens of thousands of homes, businesses and mosques were levelled by the quake, which struck on Sunday as evening prayers were being said across the Muslim-majority island.
Rescue efforts have intensified to find people buried in rubble following the natural disaster that shook Indonesia's Lombok island.
However, he has also said several times that the number of deaths would increase.
The government says more than 1400 people were injured and more than 156,000 displaced.
One aid agency, Yayasan Plan International Indonesia, has warned that thousands of children have been left homeless, forced to sleep in open fields without warm clothing or blankets.
Indonesia sits on the Pacific Ring of Fire and is regularly hit by earthquakes.
The National Disaster Mitigation Agency said that at least 131 people were killed in Sunday's quake, but other agencies say the death toll has risen to more than 300.