The cases were identified after follow up tests on close contacts of the health worker who tested positive on Friday.
The two new cases include a driver and another health worker.
They have been transferred to the isolation ward at Motootua.
The number of positive cases has risen to 15 since a flight from New Zealand arrived in Samoa on 6 March.
All the cases are well and remain asymptomatic.
The public has been encouraged to wear masks, practice social distancing, and wash hands regularly.
