All 19 passengers and crew have been accounted for, Aberdeen Coastguard said.
It is not yet known what their condition is.
It is understood the helicopter made a "controlled ditching" into the sea.
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Passengers, including a pregnant woman, say they have been stranded since 4pm yesterday.
The boxer said it was the "least he could do" and even donated the £30,000 shorts he wore in his last fight against Devon Alexander.
By Sunday it should become drier with spells of winter sunshine but temperatures will still remain on the cool side.