A Muslim family of nine from London, including four children, were refused permission to board a flight to the US out of Gatwick airport on 15 December.
Mohammed Zahid Mahmood, from Walthamstow, eight members of his family and two other children checked in for the Norwegian Airlines flight to Los Angeles on 15 December.
The family say they were told an official in the US had objected.
At the boarding gate Mr Mahmood said they were told they could not travel but no reason was given.
Now the family have shared mobile phone footage which shows them talking to staff at the airport.