He has been at Bellevue Hospital for medical treatment since his conviction after suffering chest pains.
Weinstein had a heart stent put in Wednesday night to allow for his transfer.
The former movie executive was found guilty of the third-degree rape of Jessica Mann in 2013 and of sexually assaulting Mimi Haleyi in 2006.
However, he was acquitted on the more serious charges, including predatory sex assault, which carried a maximum life sentence.
He is scheduled to be sentenced next week.
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