The US Geological Survey reported a 7.2 magnitude earthquake on Friday morning, 280km south-west of Houma, and around 170km deep.
Kaniva Tonga said no casualties or damage were reported.
On Saturday, a 6.5-magnitude earthquake struck in the Tonga region, but no tsunami alerts arose from it.
On Sunday morning a trio of aftershocks came, around 275 to 290km from 'Ohonua.
The shakes continued in the early hours of Monday, all ranging between magnitude 4.6 and 5.8.
They were between 10 and 28.5 kilometres deep, and 274 to 299km south-west of 'Ohonua.
