The cruise ship Carnival Glory found and rescued the missing person 21 miles north of Cuba.
The Glory continued on to Cozumel for a seven-day cruise. The Miami Herald reported a steward saw the crew member. "We had a Coast Guard cutter join the search".
The man went overboard from the Norwegian Getaway and had been drifting since at least Saturday.
Carnival Cruise Line President Christine Duffy called the rescue "nothing short of miraculous".
The Coast Guard has found a missing crew member who went overboard from a cruise ship near Cuba. A Coast Guard airplane, a HC-144 Ocean Sentry, immediately began searching for him.
The Coast Guard says one of its cutters and a two aircraft assisted in the search. The hotel steward notified bridge officers who initiated rescue operations, including reducing speed, reversing course and lowering a lifeboat to retrieve the man.
A Norwegian Cruise Line crew member apparently treaded water for nearly 22 hours before being spotted in the waters off Cuba by the crew of a passing Carnival Cruise ship.
Carnival Glory was actually at the start of a 7-night western Caribbean cruise which is the same as the Norwegian Getaway, the vessel which the crew member was overboard from.