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The Duke and Duchess of Cambridge have arrived in New York, and have a hectic three-day schedule for their first visit to the Big Apple, Sky News reported.

The royal couple were greeted by cheering crowds when they arrived at the swanky Carlyle Hotel, where they will stay during their whistle-stop tour.

The top Manhattan hotel was where William's mother, Princess Diana, stayed when she visited the city in the 1980s.

Prince William will travel to Washington DC for a meeting in the Oval Office with President Barack Obama.

He's also expected to deliver remarks at the World Bank, highlighting efforts to fight illegal wildlife trafficking.

That leaves Kate to take on a number of solo engagements, including visiting the Northside Centre for Child Development in Harlem, which specialises in providing mental health and other services to disadvantaged children.

Prince William is expected to meet former secretary of state Hillary Clinton and her daughter Chelsea at a conservation event when he returns to New York.

There's also a planned visit to the 9/11 memorial, a trip to the top of the Empire State building and a night of high glamour at the Metropolitan Museum of Art in honour of the couple's university, St Andrew's.