About 200 arrived in the port of Larnaca on Saturday aboardthe MV San Gwann, a ferry chartered by the federal government and which had brought another 350 evacuees to the same dock the previous day.
A further 470 people came in a few hours later on the Kriti II, another ship chartered by Australia, which was carrying a total of 1,000 evacuees from several countries.
In recent days, some 1,700 Australians rescued from Beirut have arrived in Cyprus on naval ships and chartered ferries.
More were evacuated by ferry to Turkey or by bus to Syria.
Of those to reach Cyprus, about 500 have left on chartered
planes to Sydney.
Another 450 are scheduled to fly out to Perth.
Authorities are keen to get people home as soon as possible, to ease the pressure on Cypriot resources during the evacuation, which has coincided with the height of the tourist season.
Most hotels across the island country are fully booked as many nations have been evacuating their citizens from Lebanon through Cyprus.
An Australian Defence Force C130 arrived at the Akrotiri Air Base in Cyprus to help in the exodus, possibly acting as a shuttle to major transport hubs in Europe.