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The first quake, measuring 4.9 magnitude, struck just before 9.00 a.m. local time in Bushehr province, according to the United States Geological Survey (USGS).
Around 30 minutes later a second quake, this time measuring 4.5 magnitude, struck the same province which runs along the Iranian coastline.
The quake epicenters were within 20 kilometers of the city of Borazjan -- a short distance from the country's Bushehr nuclear power plant.
In the wake of Qasem Soleimani's killing last week, Iran said it was ending its commitment to the 2015 nuclear deal with world powers.
Opened in August 2010, Bushehr is not only Iran's first nuclear plant but the first civilian reactor in the Middle East.
History of deadly quakes
Iran is no stranger to tectonic activity. The country sits on a major fault line between the Arabian and Eurasian plates, and has experienced many earthquakes in the past.