Over the weekend, 14 tugboats pulled and pushed the Ever Given at high tide to try to dislodge it and were able to move the ship "30 degrees from left and right".
Then on Monday, after several reports that the ship had been partially refloated, the Suez Canal Authority (SCA) issued a statement saying that the Ever Given had been "successfully refloated".
The SCA said it would resume manoeuvres later on Monday high tide, "allowing for the full restoration of the vessel's direction so it is positioned in the middle of the navigable waterway".
Richard Mead, managing editor of shipping journal Lloyd's List, told the BBC's Today Programme: "It's clear the Suez Canal is going to start reopening to traffic later today, once they've done a full inspection."
He added that some smaller ships have already started transiting past the vessel.
"We're looking at about 450 ships still waiting to transit the canal. It's going to be a lengthy process clearing that backlog," he said.