Geoscience Australia showed two different earthquake epicentres, one with a magnitude of 7.0, the other with a magnitude of 6.1, both taking place early this morning below the sea.
Footage from Bali appeared to show a hotel evacuated with people standing outside in the streets.
US tourist Greg Bledsoe was one of those caught in the tremors on land in Bali.
"We were just lying in bed and the hotel began to shake," he told Today.
"The hotel was swaying back and forth."