GeoNet images of White Island's crater floor this morning did not appear to show any unsettled activity on the volcano.
The quake followed a more minor 2.4 magnitude shake just a few kilometres south-west of the island shortly after 5am today, which had a depth of 9km.
Duty Volcanologist Michael Rosenberg said because the earthquake was a "significant distance" away from White Island there was very little chance of the volcano erupting, and there was no cause for concern.
"The ground motion from the distance is not likely to upset the volcanic system at White Island."
Bill Fry, a seismologist with GNS Science, said locally it would have been "quite strong" but on-land in New Zealand it was not.
"There were a few light felt reports, the shaking wasn't damaging certainly in New Zealand.
"If you were off in the ocean 200km you probably would have felt a good shake."
- additional reporting NZME. News Service