The quake hit at 5:55 am (local time) and was centred 81 kilometres east of the city of Hualian at a depth of 10 kilometres, USGS said.
The tremor comes after a 6.4-magnitude earthquake in February left 117 dead when an apartment complex collapsed in the southern city of Tainan.
That quake also raised questions over shoddy construction -- five people have been charged over the deadly building collapse.
Taiwan lies near the junction of two tectonic plates and is regularly hit by earthquakes.
The island's worst quake disaster came in September 1999 when a 7.6-magnitude earthquake killed around 2,400 people.
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