The IRNA news agency reports the tremors ranged from magnitude 3.7 to magnitude 5.0 from early Saturday to early Sunday.
Many residents near the epicenter slept outdoors in fear that a stronger quake could strike overnight.
IRNA said the shaking also unleashed a landslide that blocked the road linking Bandar Lengeh to the provincial capital of Bandar Abbas for several hours.
Several strong earthquakes have jolted the same area in recent weeks.
A 6.1 magnitude jolt in early September killed 7 people and was felt across the Persian Gulf in the United Arab Emirates.