The FBI has confirmed that it is looking into the allegations.
An FBI spokesman said: “We aware of the allegations of surrounding this matter and are looking into it.”
The spokesman refused to confirm whether Law has already been interviewed over the matter. Law’s agent Sara Keene also refused to comment.
An FBI investigation would be further embarrassment for Rupert Murdoch.
The phone hacking scandal has so far been largely confined to the UK.
A separate investigation in the US would be extremely damaging to Mr Murdoch given that his News Corporation media empire is based there.
Law’s solicitor, Mark Thomson, refused to disclose where the airport was, or whether Mr Law had been on US soil when his phone was hacked.
However a statement read to the court references a News of the world article, published in 2003 which “even referred to phone calls that the claimant’s assistant had made to the claimant on arrival at an airport.”
An article published on September 7 2003 in the NotW refers to calls made by Mr Jackson to Law shortly after he arrived at New York’s JFK airport.