The Enterprise had been parked at Kennedy Airport since it flew from Washington to New York atop a 747 jet.
The shuttle was placed on a barge Saturday and readied for a slow journey through the harbor to its permanent home at the Intrepid Sea, Air & Space Museum on Manhattan's West Side.
The barge was being taken across New York Harbor to Port Elizabeth, N.J. on Sunday.
Then, on Tuesday, a tugboat is to move the Enterprise to the Intrepid, a decommissioned aircraft carrier.
Plans are in place for a floating crane to lift the spacecraft onto the flight deck.
Here is a photo gallery of the shuttle's journey toward its new home.