The agency said dozens of people were being taken to hospital in the provincial capital of Banda Aceh.
The death toll in the illegal oil well explosion in Pasir Putih Village of East Aceh district on early Wednesday has jumped to 15, with 40 others being severely injured.
Local authorities report that the newly drilled well - said to have been sunk to a depth of 250 metres (about 820ft) - was gushing oil when it ignited at about 1.30am local time.More news: Salman Khan meets CM Mehbooba Mufti in Kashmir
Flames towered over houses and trees as firefighters hosed down the area while villagers watched, in pictures posted on social media by Sutopo Purwo Nugroho, the spokesman of Indonesia's disaster mitigation agency.
"Everyone was shouting 'Fire!" Edi Gunawan, director of a local hospital, told Indonesian television that those hospitalized have sustained burns ranging between 20 and 60 percent of their bodies. "Children were crying and women shouting in panic".
The number of the injured and evacuees is being assessed, he said. "It was really scary for me".More news: Drinking may increase mouth bacteria linked to cancer, heart disease
The disaster agency described the well as "traditional", likely meaning it had unclear ownership and was used by the local community.
Police said the victims were collecting oil from around the entrance of a wellbore when the blaze erupted.
The head of police in east Aceh said the oil well might have been drilled illegally and the fire might have been started when someone was smoking a cigarette.More news: Windrush: Amber Rudd vows speedy compensation for hardship
Aceh, at the northern tip of the island of Sumatra, has significant commercially untapped natural gas reserves and is dotted with illegal wells.