The vessel, one of the world's largest container ships, became jammed across the canal in high winds on March 23, halting traffic in both directions and disrupting global trade.
It was scheduled to dock at Rotterdam’s ECT Delta terminal for unloading until Aug. 3 before departing for Felixstowe, England, the port said.
A ceremony was held at the canal to mark the departure of the vessel, which is loaded with about 18,300 containers.
One of the world's largest container ships, the Ever Given became wedged diagonally across a single-lane stretch of the canal for six days, disrupting global trade.
The authority did not reveal details of the settlement deal with the Shoei Kisen Kaisha Ltd., the Japanese owner of the Ever Given. It said the deal will be signed in a ceremony in the Suez Canal city of Ismailia on Wednesday.
The 400-metre-long (1,310 ft) Ever Given became grounded diagonally across the southern section of the canal during high winds on March 23. It remained stuck for six days, preventing hundreds of ships from passing and significantly impacting global trade flows.
International supply chains were thrown into disarray when the 400-metre-long (430-yard) Ever Given ran aground in the vital trade artery on March 23, with specialist rescue teams taking almost a week to free her after extensive dredging and repeated tugging operations.
Leth Agencies said that a total of 357 vessels have crossed the Canal since the ship was re-floated by a flotilla of tugboats, helped by the tides.
Tariffs are expected to remain elevated as the vessels that have been diverted already will need to be re-scheduled into the international shipping timelines, analysts have said.
The ship is currently on its way to Great Bitter Lake, according to Leth Agencies, which is a transit agent at the Suez Canal.
Around 18,829 ships passed through the canal carrying around 1.17 billion tonnes of cargo.
Canal authorities said Saturday that dredgers had managed to dig out the rear of the ship Friday night, freeing its rudder, and that by Saturday afternoon, they had dredged 18 meters down into the canal's eastern bank, where the ship’s bow was stuck solid. But after a salvage team failed once more to dislodge the four-football-field-long leviathan from the sand bank where it ran aground Tuesday, blocking all shipping traffic through the canal, global supply chains churned closer to a full-blown crisis.
Although strong tides and winds complicated efforts to free the ship, the tugboats managed to move it 30 degrees in two directions.
The mega container Ever Given got wedged on March 23 in a single-lane stretch of the canal near the city of Suez, about 6 kilometres north of the southern entrance of the canal.
As per estimates, cargo worth around $10 billion is expected to get stuck a day due to the logjam.
Tugboats and a specialised suction dredger worked to dislodge the giant container ship that has been stuck sideways in Egypt's Suez Canal for the past three days, blocking a crucial waterway for global shipping.
The 25-member crew are safe and accounted for, says Bernhard Schulte Shipmanagement, the company that manages the Ever Given.