The 10-day-old child, identified as Yagiz, was found inside a collapsed building in the southern province of Hatay.
The child was seen being carefully taken outside overnight, which the local media hailed as miraculous.
Four days after the disaster, there are fewer survivors to be found, and the chances are dwindling in the bitter cold.
However, search and rescue operations are still ongoing in Turkey and the neighbouring country of Syria, which was also hit by earthquakes.
A thermally blanketed newborn named Yagiz was seen being carried to an ambulance for medical attention.
His mother was brought out on a stretcher. There were no further updates immediately available over the health of both.
Istanbul Mayor Ekrem Imamoglu – whose teams were reportedly involved in the rescue – tweeted about the rescue, saying it happened in the town of Samandag.
Footage obtained by the Reuters news agency also showed a man being retrieved from the ruins, though it was not known if he had any connection to the other two.
More than 21,000 people have died – most of them in Turkey – after Monday morning’s initial 7.8-magnitude tremor and the hundreds of aftershocks that followed.
There have also been fears of a secondary catastrophe, as many people have been made homeless and are lacking shelter, water, fuel and electricity.
Turkish President Recap Tayyip Erdogan has described it as the “disaster of the century”.
Opposition figures have accused Mr Erdogan of failing to prepare for the earthquake and have questioned how estimated 88bn lira ($4.6bn; £3.8bn) raised from an “earthquake tax” was spent. The levy – first imposed in the wake of a massive quake in 1999 that killed more than 17,000 people – was meant to have been spent on disaster prevention and the development of emergency services.
Kemal Kilicdaroglu, the leader of Turkey’s main opposition party said on Wednesday that Mr Erdogan’s government “has not prepared for an earthquake for 20 years”.
Despite the devastation, stories of remarkable escapes or heroic rescues have been emerging over the past days.
Thousands of people have offered to adopt a baby girl who was born under a collapsed building in north-west Syria.
When she was rescued, baby Aya – meaning miracle in Arabic – was still connected by her umbilical cord to her mother, who died along with other family members.