The line cited the ongoing uncertainty about when international travel restrictions might be lifted in the region for its decision.
Guests booked on affected cruises will receive refundable future cruise credit (FCC) equivalent to 100% of the cruise fare paid.
They will also receive an additional non-refundable FCC equivalent to 25% of the cruise fare paid.
FCC will be issued automatically requiring no action from guests or agents. Guests have until 30 November to opt for a refund instead, if they wish.
Agent commissions for bookings on cancelled cruises will be paid in full, Princess has confirmed.