The Ever Given was among a caravan of vessels cruising from the Mediterranean Sea to the Red Sea, the Suez Canal Authority (SCA) said.
It had been offloading its payload in Europe and is currently on the way to Asia.
The boat was refloated following a significant six-day rescue activity that prompted the passing of one individual.
It was then seized for 90 days close to the waterway city of Ismailia while a pay bargain was concurred among Egypt and the Ever Given’s proprietors.
It was one of 26 ships that headed out from north to south through the trench on Friday, while 36 boats cruised the other way, the SCA added, hailing the stream as the “briefest and quickest navigational course connecting the east with the west”.
The Ever Given, one of the world’s biggest holder ships, had been conveying its 18,300 compartments to Rotterdam, Felixstowe and Hamburg and is currently making a trip to China.
The 400m-long (1,312ft) transport became wedged across the channel in the wake of steering into the rocks in the midst of high breezes on 23 March, impeding it for many ships and disturbing worldwide exchange.
Following its delivery, the SCA looked for pay for the Ever Given’s Japanese proprietor Shoei Kisen for the expense of the rescue activity, harm to the waterway’s banks and different misfortunes.
The details of the arrangement were not uncovered however Egypt had in the end chosen a $550m (£397m) request.