Many ships were stranded, waiting for the rescue boats to free the 400m (1,312ft), which was swept along by powerful winds.
Egypt has reopened the old canal channel to divert some traffic until a steep ship can sail again.
The trauma created a long tail.
About 12% of world trade passes through the Suez Canal, connecting the Mediterranean to the Red Sea and providing the shortest sea link between Asia and Europe.
Ever Given, registered in Panama, was bound for the city of Rotterdam in the Netherlands from China and passed north along a canal to the Mediterranean.
The 200,000-ton ship, built in 2018 and operated by Taiwan's transport company Evergreen Marine, crashed and landed on the side of the waterway at about 07:40 local time (05:40 GMT) on Tuesday.
At 400m long and 59m wide, the ship blocked the way for other ships now stranded in rows on both directions.
While experts warned that it could take a few days to resolve, shipping officer GAC said the ship had already been partially loaded, and would continue its voyage soon. There has been an official confirmation from the Suez Canal Authority.
Reuters, citing local sources, said at least 30 ships were blocked north of Ever Given, and three south.
The Evergreen Marine said the ship was "allegedly blown away by a sudden gust of wind, which caused the boat to capsize ... and then accidentally crashed and landed".
The container shipping company, Bernhard Schulte Shipmanagement (BSM), confirmed on Wednesday that "all crew members are safe and reported", with no reports of injuries.
Eight towers were working to rebuild the ship, and diggers were removing sand that had been tied to the side of the canal bank.
Dr Sal Mercogliano, a maritime historian based in the U.S. state of North Carolina, told the BBC that such incidents were rare, but could have "significant returns on global trade".
This is the largest shipwreck on the Suez Canal, "he said, adding that the ship would sink into a ditch and lose its power and steering.
"If they can't pull him ... as there's a strong wind, they'll have to start unpacking."
Julianna Cona, who claims to be on another boat located directly behind Ever Given, wrote on Instagram: "The boat in front of us jumped while we were crossing the river and now it is stuck on the sides it looks like we could be here for a while ..."
The Suez Canal is the world's largest trading post, linking the Mediterranean with the Red Sea, and it provides navigation routes between Asia and the Middle East and Europe. The other major route, the trail around the Cape of Good Hope on the southern tip of Africa, takes a very long time.
On average, about 50 ships pass through the river every day, though sometimes the number can be quite large - including about 12% of world trade. It is very important as an oil and natural gas reservoir, which allows for export from the Middle East to Europe.
The scary situation is that this critical approach has been banned - which is exactly what has happened now with the arrest of Ever Given. The question now is how long does this route last, as long delays can cause major problems for shippers, delays in shipping and fuel.
In this case, reports suggest that traffic may flow again at a much faster rate, at which point the impact will be limited, despite rising oil prices.
But the incident has shown the worst when a new generation of larger ships like Ever Given has to cross the strongest limits of the canal. Although its components were expanded as part of a larger modern program in the middle of the last decade, it is still a delusion to travel - and accidents are possible.
The ship has the capacity to carry 20,000-shipping containers, according to the Reuters news agency.
About 19,000 vessels crossed the river in 2020, according to the Suez Canal Authority - an average of 51.5 ships a day.
In 2017, a Japanese container vessel blocked the road after crashing following reported mechanical problems. Egyptian authorities planted tug-of-war boats, and the ship was deployed in a matter of hours.
The Suez Canal crosses the Suez Isthmus in Egypt - a strip of land between the Mediterranean and the Red Sea. The canal is 193km (120 miles long) and includes three natural lakes.
In 2015, the Egyptian government opened a major expansion of the canal that deepened the main waterway and provided the ships with a 35km (22 miles) corresponding channel.