The quake struck at 8:21 am (0021 GMT) with its epicentre 33.3 kilometres (21 miles) southwest of the eastern city of Hualien, at a depth of 18 kilometres, the centre said.
Residents on many parts of the island felt tremors, it said.
Also Read
A strong 6.3-magnitude quake which hit central Taiwan in June last year killed four people and caused widespread landslides.
A 7.6-magnitude quake struck the island in September 1999 and killed around 2,400 people.
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