The baby's maternal grandmother said the baby was born three weeks premature.
A rescuer told CNN the baby's mother managed to make contact with rescuers and get the baby to them through a narrow passage.
Officials had to find a rescuer thin enough to fit into the crevice to get the baby. The rescuer told CNN it was the first time he had ever pulled someone alive from earthquake rubble in 12 years of doing such work.
While rescuers worked to get to the mother and grandmother, they managed to supply the two women with oxygen, officials said.
The rescues Tuesday gave hope to all those piecing through the wreckage from Sunday's 7.2-magnitude quake.
The death toll has risen to 366, with another 1,300 injured, Turkey's disaster management authority said. Some 2,262 buildings are in ruins.
Using shovels, heavy machinery and their bare hands, rescue workers continue to pick through the debris in search of survivors. The military is assisting.
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