The new cases were among the 1043 infections confirmed by the ministry on Sunday.
Over 14-thousand positive people are in isolation in the western and central divisions.
Health Secretary James Fong said the five patients are being isolated at the Levuka Hospital.
He said three of them were recorded on Ovalau while the other two on Gau.
He said the ministry is working with the Lomaiviti Provincial Council to monitor the situation on both islands.