Ferhat Tokay was rescued from a collapsed building in Ercis.
Only few hours before the boy has been rescued, another man was freed from a flattened apartment block and taken to hospital.
Up to now, 187 people have been rescued, but hundreds are still missing and hopes are fading of finding any more survivors.
Meanwhile, rain and snow are hindering the rescue and relief effort.
Ferhat Tokay, the rescued 13-year-old boy was found alive late on Thursday and pulled out by search teams early in the morning.
“He was taken to hospital in Sahra and his health appears good,” said a rescue official.
Rescue workers are continuing to dig through the debris in some places, but at other sites they have stopped work and attention is turning to the needs of the survivors.
Authorities delivered tents and other aid supplies are being after some initial criticism that the response was too slow.
People in Ercis, the hardest-hit town, have formed long queues to try to get hold of tents but many have been told there are none left.
“Everyone is getting sick and wet,” said Fetih Zengin, 38, whose house was badly damaged.
“We have been waiting in line for four days and still nothing.”
Zeki Yatkin, who lost his father in the quake, said:
“They say we will get prefabricated houses in one-and-a-half months.
“We can’t tolerate the cold, but what else can we do?”
Turkish PM Recep Erdogan had initially said country did not need any help from abroad, but later changed his mind.
Turkish government accepted an offer of clothes, blankets and other supplies from Israel, despite the recent deterioration in their relationship.
There are also reports saying that prefabricated homes from Israel have been sent to Van province.
The United Nations says it is sending thousands of tents as well as blankets and mattresses.
Aid from several other countries is starting to arrive in Turkey too.
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