Cruise West's Spirit of Columbia ran aground and stuck in the mud in Prince William Sound near Evans Island on Sunday.
The ship apparently got too close to shore for sightseeing. It was refloated by midafternoon when the tide came in, and continued to Whittier.
The Coast Guard said no one was hurt and no fuel was spilled. As a precaution, the Coast Guard sent a cutter and a helicopter just in case they would be needed, but the ship refloated without incident.