The ancient capital is a major tourist site, home to thousands of Buddhist monuments.
The quake struck 25km (15.5 miles) west of Chauk, at a depth of 84km, the US Geological Survey said.
A 6.8 magnitude earthquake has hit central Myanmar, damaging pagodas in the ancient city of Bagan and killing at least one person.
Tremors were felt as far away as Thailand, Bangladesh and India, sending fearful residents into the streets.
At least 66 stupas in Bagan have been damaged, a spokesman from the department of archaeology told the Media.
A 22-year-old man was killed in the town of Pakokku due to a building collapse.
