The allegations of John McCarthy, Brian Keenan, Terry Waite and the American Terry Anderson are the latest in a dispute over Granada's Hostages, to be broadcast on Wednesday.
The Manchester-based company, however, said last night it had not promoted the programme as a true story but as a clearly-labelled dramatisation.
The four claimed the programme contained scenes of 'pure fiction' as none of them were willing to co-operate in making it.
'Granada is grossly misleading the public by giving them the impression that they will see what actually happened,' they said in a combined statement.
'Granada claims this film is the 'true story' yet it is only part factual. We feel Granada and their American co-producers, Home Box Office, must explain this to their audiences.'
Granada responded: 'We have confidence in the film and are convinced the public will share that confidence on transmission. We have never promoted the film as 'the true story'.'