People rushed into the streets and cracks were left in some buildings by the quakes, images posted on the social media accounts of state media showed.
In 2008, one of the deadliest quakes in China's history struck the county of Wenchuan, located about 400 kilometers from Yibin, leading to the deaths of more than 87,000 people including children who died when their shoddily-built schools collapsed.
More than 10,000 rooms within an undisclosed number of buildings were moderately damaged while 12 collapsed, according to Yibin authorities.
A series of at least four aftershocks, the largest of which had a magnitude of 5.1, took place in the following 40 minutes. The homes of more than 4,000 families were damaged in Gong county.
A quake of magnitude 5.9 was followed by a smaller one of 5.2 magnitude, both at a depth of 10km and centred near Changning county, the United States Geological Survey said.
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Rescuers pulled six bodies and seven survivors from buildings, it said.
More than 300 firefighters have been dispatched to the scene.
China's Ministry of Emergency Management initiated its emergency response and sent a work team to the affected areas to provide guidance in rescue and disaster relief.
Sichuan is regularly hit by earthquakes.
A huge quake in Sichuan in May 2008 killed nearly 70,000 people.