Tourists are seen initially running away from the cruise ship.
Videos show MSC Opera, horn blaring, grazing the pier at San Basilio and striking River Countess, moored there, as people on the dock flee.
The MSC Opera smashed into a dock located on the Giudecca canal in Venice this morning.
She described the ship "advancing slowly but inevitably towards the dock".
"The investigations to understand the exact causes of the events are now in progress", the statement read.
An investigation has been launched, and the company said it was cooperating with authorities.
The accident comes just days after seven people were killed and 21 left missing after a small boat was hit by a cruise ship on the Danube in Budapest.
"I didn't know what to do. I got away quickly, jumping to get on shore".
Following the collision, Italian medical authorities said four of the people injured were women - an American, a New Zealander and two Australians between the ages of 67 and 72.
"The engine was blocked, but with its thrust on, because the speed was increasing".
According to the cruise line, the MSC Opera weighs 65,591 tons, has 1,071 staterooms and fits 2,150 passengers and 728 crew members.
This recent accident has reignited fresh debates, with those campaigning for the ban noting that the waves the ships create erode the foundations of the lagoon city and cause floods in areas like St Mark's Square. The pilot is heard saying that "here on the bridge, we don't understand what happened".
"Cruise ships must not sail down the Giudecca".
"This is why for months we have been working with the ministers.to move them (the vessels) and we are close to a solution".
The Corriere della Sera newspaper said that four of the smaller boat's passengers sustained light injuries.