According to Indonesia's geological agency, Thursday's quake had a magnitude of 6.2 and was shallow, striking at a depth of just 12 kilometres.
It's the third tremor to hit Lombok in the space of two weeks.
A 6.9 magnitude quake struck the island, a popular destination for foreign tourists, on Sunday evening, killing at least 131 local people and leaving about 150,000 homeless.
"We are still waiting for assessments from some of the more remote areas in the north of the island, but it is already clear that Sunday's natural disaster was exceptionally destructive", said Mr Rassi.
Volunteers and rescue personnel have erected more temporary shelters for the tens of thousands left homeless on the island.
The magnitude-5.9 natural disaster struck close to the epicentre of Sundays 6.9 quake on Lombok, with a depth of 10km (6 miles).
Officials said the quake's epicentre was on land and so there was no risk of a tsunami.
Reuters witnesses reporting on the aftermath of last Sunday's quake in the north of the island said people ran out onto roads in panic and some buildings collapsed.
Videos showed rubble strewn across the streets and clouds of dust enveloping buildings.
While the quake was centred on the island of Lombok, people in nearby Bali were also strongly affected. Buildings still standing on the island have been weakened after Sunday's natural disaster.
He said they were also looking for people with untreated injuries.
The national disaster agency said there are still some evacuees that have not yet received aid, especially in the north and west of the island.
The government says more than 1400 people were injured and more than 156,000 displaced.
Thousands of people have been sleeping in makeshift shelters or out in the open.
Indonesia is prone to earthquakes as it is situated in the "Ring of Fire", an area in the basin of the Pacific Ocean where many tremors and volcanic eruptions occur.
The military said five planes carrying food, medicine, blankets, field tents and water tankers left Jakarta for the island early Wednesday. An estimated 230,000 people died after a magnitude 9.1 quake triggered a tsunami off the coast of Sumatra in December 2004. "For example, how we can deal with the number of damaged houses, mosques, schools, hospitals".