The more than 4,500 passengers were locked down in their cabins for hours during the strongest part of the storm, CBS News reported.

The ship also carries 1,600 crew members.

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Royal Caribbean said there was some damage to public areas and cabins, but the ship is seaworthy. At least four people were hurt.

"After seeing pictures and people's comments on Twitter and other social media platforms, the U.S. Coast Guard contacted the Royal Caribbean's Anthem of the Seas to check in. The ship said that everything was fine, and no distress calls have been issued. The ship was caught in the storm off the shore of Charleston. There are 40 plus knot winds and large swells. The USCG will continue to monitor the situation," said U.S. Coast Guard Southeast representative Mark Barney.

Royal Caribbean released this statement Monday morning: "On Sunday, February 7, while sailing to Port Canaveral, Florida, Anthem of the Seas experienced extreme wind and sea conditions, with wind speeds higher than what was forecasted.  In an abundance of caution, the captain asked all guests to stay in their stateroom until the weather improved. At this time there have not been any serious injuries reported. The ship has sustained some damage to the public areas and guest staterooms, which in no way affect the sea-worthiness of the ship."