Videos showed rubble strewn across the streets and clouds of dust enveloping buildings.
The quake is the latest in a series of tremors on the tropical tourist islands that have killed hundreds and damaged thousands of homes.
Almost 1,500 people are in hospital with serious injuries and more than 156,000 have been displaced due to the extensive damage to thousands of homes.
In Kopang Daya village in the hard-hit Tanjung district of north Lombok, a distraught family was burying their 13-year-old daughter who was struck by a collapsing wall and then trampled when the quake Sunday caused a stampede at her Islamic boarding school.
"Access is tough, because the natural disaster [on Sunday] was so strong and paralyzed a lot of buildings", said Husni, a spokesman for the International Federation of the Red Cross who like many Indonesians goes by one name.
Evacuees in some encampments say they are running out of food, while others are suffering psychological trauma after the powerful quake, which struck just one week after another tremor surged through the island and killed 17.
But Mr Sutopo said some areas in the north had still not received any aid.
The Indonesian Red Cross said it had set up 10 mobile clinics in the north of the island.
Most people live in basic housing in small communities.
Kurniawan Eko Wibowo, a doctor at the field hospital, said most patients had broken bones and head injuries.
"We lack the infrastructure to perform operations because (they) need to be performed in a sterile place", Wibowo told AFP.
Thousands of people have been sleeping in makeshift shelters or out in the open.
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