The 5.8 magnitude quake hit at around 2.17am local time not far from Marmaris in Turkey, which also affected Greek islands including Rhodes.
Two government officials have said a 14-year-old girl died due to a ‘panic attack’ caused by the earthquake.
Interior minister Ali Yerlikaya said in a statement on X: ‘During the earthquake in Fethiye, our 14-year-old daughter, Afranur Günlü, was taken to hospital due to a panic attack, but unfortunately lost her life despite all interventions.’
Several more people have been injured trying to jump out of their buildings in a panic.
Mr Yerlikaya said 14 out of 69 people that jumped from their buildings were treated by medics at the scene, with 46 people still in hospital.
He added: ‘I convey my get well wishes to all our citizens, may God have mercy on our deceased child, and wish a speedy recovery to our injured citizens.’
There has been no damage to infrastructure caused by the earthquake, Mr Yerlikaya said, with no damage to any residential buildings reported.
The European Mediterranean Seismological Centre confirmed the quake, saying it hit at a depth of 68km (42miles).
It’s only been a couple of weeks since nearby Crete was shaken by a massive 6.1 magnitude earthquake, which triggered a tsunami warning.
According to the regional earthquake-tsunami monitoring centre at Boğaziçi University in Istanbul, there have been a total of 179 seismic events in Turkey so far this month.
The vast majority of these, 163 events, were below 3.0 magnitude.