The ship that slammed into the Francis Scott Key Bridge in Baltimore was re-floated on Monday after being stuck for nearly eight weeks.
The Dali was moved by tugboats “under favourable environmental conditions”, according to the US Army Corps of Engineers.
Moving the ship is the latest step in clearing key shipping routes.
The Dali crashed on 26 March, causing the bridge to collapse and killing six construction workers.
The ship lost power before veering off course and striking the bridge. The collision sent around 4,000 tonnes of debris into the Patapsco River and trapped the boat. An investigation into the incident is ongoing.
The 948ft (289m) ship had remained at the scene and was covered in scrap metal from the bridge, until a controlled demolition last week cleared some of the debris.
The Army Corps of Engineers said that it would take around 21 hours to move the Dali to a nearby terminal.
Doing so first required that ballast tanks aboard the ship – which had been filled with large amounts of water to prevent it from swaying – be emptied, allowing the Dali to rise from the floor of Maryland’s Patapsco river.
At high tide around 0700 EST (1200 BST), five tugboats and several other vessels began moving the newly re-floated Dali 2.5 miles (4km) to a nearby marine terminal. Debris and parts of roadway are still clearly visible atop the ship, which remains heavily damaged.
Officials have previously said that the ship is expected to remain at the terminal for four to six weeks before being moved to Norfolk, Virginia for further repairs.
With the ship moved out of the way, deep-draft commercial vessels are now able to use a 400ft (121m) wide, 50ft (15m) deep portion of the federal shipping channel to enter and exit the port of Baltimore, even as cranes and other equipment remain in place to clear additional debris.
The clearing work will continue until the shipping channel is restored to its original width of 700ft (213m) and all steel is removed from the riverbed.