"It's absolutely incredible," Swiss pilot Andre Borschberg said over a live video feed as the iconic statue lit up the night below him. "It's a dream here."
The light, slow-moving aircraft later landed at New York's Kennedy Airport, completing the five hour flight from Lehigh Valley Airport in Pennsylvania.
Cameras in a boat in New York harbor captured the innovative solar powered aircraft as it flew over the Verrazano Bridge and headed toward the towering Lady Liberty.
Ending the US crossing at the Statue of Liberty "is a very strong moment for me", said Borschberg as he approached New York, calling it a "symbol of the freedom of enterprise, the freedom to innovate."
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It was the 14th leg of an east-west journey that began March 9, 2015 in Abu Dhabi, and has taken the aircraft across Asia and the Pacific to the United States.
From New York the Solar Impulse team will attempt to cross the Atlantic to Europe and on to the Middle East.
Their goal is to be the first to circumnavigate the Earth with the sun as their aircraft's only source of power.
The single-seat aircraft, which has the wingspan of a Boeing 747, is clad in 17,000 solar cells. During night flights like the one from Pennsylvania to New York, it runs on battery-stored power.
It typically travels at a mere 48 kilometres per hour, although its flight speed can double when exposed to full sunlight.
Borschberg skimmed over Pennsylvania at an altitude of less than 900 metres, descending to 500 metres as the plane crossed over the bays at the entrance to New York harbor.
The Swiss businessman was at the controls of Solar Impulse 2 on its most difficult segment of the trip, a 4,000-mile, 118-hour endurance run from Nagoya, Japan to Hawaii.