Baby Rouh has died after just a few days of life, the doctor who was caring for her said on Friday
The quake occurred between the port of Charak and the island of Kish at a depth of 22 km (13.6 miles), it said.
Officials told state TV that there had been some 100 quakes and aftershocks over the past 10 days in the same region.
Major geological fault lines crisscross Iran, which has suffered several devastating earthquakes in recent years.