The four are now under the care of state health officials along with one person who may have been exposed to them.
All have been removed from the hotel in Honolulu.
The information was revealed at a press conference with Governor Lemanu Peleti Mauga and members of the Covid 19 Task Force, led by Lieutenant Governor Talauega Eleasalo Ale.
Health Director Motusa Tuileama Nua said those who tested positive were members of a family who had travelled from the mainland.
