Among the new cases are 45 Japanese, 11 Americans and four Australians, the ship's operator, Princess Cruises, said in the earlier statement.
"This is not news that anyone of us wanted to receive," the captain told passengers in a broadcast.
"However we have been also advised since we are in the early quarantine period of 14 days, it was not unexpected."
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In a subsequent announcement, however, the captain told passengers he had been advised to correct the figure of new infections to 65 from 66.
Japan's health ministry confirmed the 65 cases.
Passengers have been allowed on decks in shifts to get fresh air and encouraged to regularly take their temperature.
Another said he hoped assurances about the effectiveness of quarantine and ventilation would prove true.
Coronavirus has killed 908 people, chiefly in mainland China, and infected more than 40,000.