An alarm was sounded and port authorities were alerted. The captain of the cruise ship called for the divers who arrived at the capsized lifeboat.
The dead crewmen included three Indonesians, a Filipino and a Ghanian, authorities said. The three injured crew members were taken by ambulance to a hospital in La Palma and the nationality of only one of them was immediately known: Greek.
Local authorities of La Palma canceled Carnival festivities that had been due to be held on the island Sunday, but said they would go ahead as planned on Monday.
Associated Press writers Harold Heckle in Madrid, and Sylvia Hui in London, contributed to this report.