The ship, which was carrying 4,000 passengers at the time, lost power after a fire in the ship's engine room.
The incident Wednesday was first reported by Mobile TV station WKRG.
After the February incident, Carnival offered refunds and vouchers for future cruises to passengers who were on board the Triumph during that incident.
The WKRG report Wednesday said that workers were making repairs to the ship when it broke loose.
-This story was updated with new information at 3:55 p.m.