There are 1,243 guests and 586 crew on board, as well as four doctors and four nurses, the cruise operator said.
The ship, Carnival Corp's Ruby Princess, became the country's largest source of coronavirus infections as one of its passengers also became the eighth fatality nationally.
Passengers who are well and from California - about 1,000 have been identified as state residents - will be taken to a federal facility.
"Those that need to be quarantined will be quarantined," including all 1,100 crew members, Vice President Mike Pence said.
It's still unclear what would occur should anyone now aboard the Grand Princess test positive for the respiratory virus, which terrorized the passengers of a different Princess cruise not long ago.
A fourth Israeli is expected to be hospitalized until sometime next week.
After the ship was denied docking access for fear that one passenger may have the coronavirus, reports find only case of seasonal flu. The passenger had not travelled in areas affected by the virus
Earlier on Thursday, another one of the Israeli passengers was found to have contracted the virus and was taken off the ship to a Japanese hospital for further treatment.
The infected Israeli is expected to be taken off the ship to a Japanese hospital for further treatment.
Japan's health ministry said it had discovered 79 additional cases of the flu-like disease that originated in Wuhan, China. Of the new cases, 68 showed no symptoms, it said.