The Category four storm is believed to have killed as many as 900 people in the Caribbean country and a cholera outbreak is the next big concern.
The weakening storm barrelled up the US coast, killing at least 16 people.
It has now moved out to sea and is not expected to return to the shore.
Officials have warned people in North Carolina to stay at home and not take unnecessary risks.
The hurricane was the strongest to hit the region in a decade. It kept up its hurricane strength with winds of at least 110mph (177km/h) for seven days.