Costa Crociere said it would cancel a cruise due to depart on March 10 from Singapore.
All passengers entering Singapore would have to undergo temperature screening, while some may have to do a swab test for the virus, the Maritime and Port Authority of Singapore and Singapore Tourism Board said in a joint statement.
Singapore's cruise terminals remain open to scheduled cruise calls out of Singapore. Unscheduled calls have not been allowed since February 24, the authorities said.
In recent weeks, journeys on other cruise ships have also been disrupted due to worries over the spread of the virus.
MS Westerdam, operated by Carnival Corp's Holland America Line, was allowed to dock in Cambodia's Sihanoukville in mid-February having been turned away at five other ports after it set sail from Hong Kong on February 1.
Diamond Princess, another cruise ship owned by Carnival, had been quarantined off the coast of Japan in February and was for a time the largest concentration of coronavirus cases outside China.