The USGS said the quake struck 36 kilometres southeast of the city of Abdanan, near the border with Iraq.
According to the television, the quake occurred at 7:02 am (0232 GMT) near the town of Mour-Mouri.
"Fortunately there have been no reports of deaths so far but there have been injuries and a great deal of material damage," a Red Cross official told the channel.
The report said that 40 injured people had been rescued by emergency teams in Abdanan.
It added that a number of people spent the night outside their homes after minor tremors struck the area on Sunday.
Iran stands on several seismic fault lines.
In April last year, a 7.8 magnitude earthquake struck southeastern Iran and neighbouring Pakistan, killing 40 people.
A massive quake in December 2003 struck the southern city of Bam, killing 26,000 people and destroying its ancient mud-built citadel.