It is paying $22.89m for the 23,300-gt Aegean Paradise (built 1990), a statement said.
New Century explains the purchase comes amid a positive outlook for the cruise industry in Singapore.
Listed New Century inspected the vessel in Greece back in April.
It also controls the 12,800-gt Amusement World (built 1967) and the 15,700–gt sistership Leisure World (built 1969).