The Yugoslav-owned Adriana will be the first cruise ship to take Americans to Albania since the United States and Albania severed diplomatic relations in 1938, according to the ship's New York agent.

The 300-passenger, air-conditioned vessel has scheduled 10- and 11-day cruises, starting from Venice.The trips are scheduled from May to September. Fares range from $1,060 to $1,900 a person, double occupancy. Information: the Adriana's agent, International Cruise Center, 250 Old Country Road, Mineola, N.Y. 11501 (516-747-8880 or 800-221-3254).