Prime Minister Suga Yoshihide told reporters that police, firefighters and members of the military were doing all they could to aid the search.
Rescuers in Japan searched desperately on Monday for survivors among 80 people believed to be still missing two days after landslides tore through the seaside city of Atami, destroying houses and burying roads under mud and rock.
The official death toll in the city, 90 km (60 miles) southwest of Tokyo, stood at three, according to Mayor Saito Sakae, while the number of missing had come down from 113 earlier on Monday morning.
By Monday, the number of rescuers at the disaster site had risen to 1,500, officials said.
"We want to rescue as many victims ... buried in the rubble as soon as possible," Prime Minister Suga Yoshihide told reporters, adding that police, firefighters and members of the military were doing all they could to aid the search.
The landslides on Saturday morning were triggered by torrential downpours - with some areas receiving more rain in 24 hours than they would usually get for the whole of July.
Around 130 buildings were affected by the calamity in Atami, a city of 36,000 people. Set on a steep slope that leads down to a bay, Atami is a popular hot springs resort.
The water, mud and debris are thought to have flowed along a river for about 2 km (1.2 miles) to the sea, local media said.
Chief Cabinet Secretary Kato Katsunobu called on residents to remain vigilant, noting that the saturated earth has been weakened and even light rain could prove dangerous.
Though Atami city spokesperson Onuma Hiroki told Reuters that the rain had stopped in Atami for now, more is forecast, raising the possibility of further landslides.
"The situation is unpredictable," he said.
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