The process to right the Costa Concordia is known as parbuckling, a technical term for rotating a sunken vessel back into an upright position.
The operation involves engineers using jacks and steel pulleys to rotate the ship by 65 degrees.
Hollow metal boxes, which have been welded to the side of the ship, will be filled with water to help bring the Costa Concordia upright.
Once it is upright, engineers hope to attach an equal number of tanks filled with water on the other side to balance the ship.
The ship will eventually rest on a false seabed around 30 metres underwater, made out of a platform and cement-filled sandbags
The brother of a waiter whose body has not been recovered from the Costa Concordia, hopes the search team will find his remains.
The operation to shift the stricken Costa Concordia ship from the rocks off the Italian island of Giglio has been completed.
Engineers successfully shifted the wreckage of the stricken ship from rocks, but the salvage operation is expected to go on into the night.