Turkey earthquake: Rescue effort ends in all but two areas
Searches will continue in Kahramanmaras and Hatay, the agency's chief said.
However, hopes of finding anyone else alive in the rubble are fading fast.
Meanwhile, US Secretary of State Antony Blinken has arrived in Turkey and announced $100m (£83m) in humanitarian aid.
The epicentre of the 7.8-magnitude earthquake on 6 February was in Kahramanmaras. More than 44,000 people are confirmed to have lost their lives in south-eastern Turkey and northern Syria.
The death toll is expected to climb, with about 345,000 apartments in Turkey known to have been destroyed and many people still missing. Neither Turkey nor Syria have said how many people are still unaccounted for.
"In many of our provinces, search and rescue efforts have been completed," the disaster agency's chief, Yunus Sezer, told reporters in Ankara.
He said search and rescue efforts were continuing at around 40 buildings in the two provinces, but he expected this number to fall by Sunday evening.
Rescue workers pulled at least three people from the rubble on Friday, more than 11 days after they were trapped when the earthquake hit.