Permanent Secretary for Health Dr James Fong said all the cases are linked to a man from Saru, Lautoka who presented with COVID-like symptoms to the Natabua Health Centre and tested positive on Friday.
One of the new cases is his wife, another is his daughter, and the third was a primary contact of his wife.
All three have been in isolation since Saturday.
The contact tracers are locating and quarantining their close contacts.
All other known primary contacts relating to the three have tested negative.