The suit was filed by the American Civil Liberties Union and other advocacy groups after two Iraqi men were detained last night at John F Kennedy Airport in New York. It seeks their release on grounds of unlawful detention.
The groups asked that the challenge be given class action status so they can represent all refugees and travelers held up because of Trump's executive order on Friday.
The New York Times reported that airport authorities started detaining travelers as early as Friday night.
The Times quoted their lawyers as saying both men had valid visas to travel to the United States.
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