The multi-million pound film was screened to acclaim at the Toronto Film Festival and tells the story of Scots war veteran Eric Lomax and his wife Patti.
Mr Lomax was tortured by the Japanese during the Second World War and wrote about his experiences in an autobiography, also called The Railway Man.
The book tells how Mrs Lomax helps her husband overcome terrible hatred after his release from prisoner of war camps, which included working on the Burma Death Railway.
He also eventually met and forgave one of his tormentors, Nagase Takashi.
The film has already had its first premiere in the border town of Berwick, because it was the home of the real-life heroes of the story.
Edinburgh-born Mr Lomax, 93, died during filming, but 75-year-old Mrs Lomax was promised first sight of the film.
Adapted by film-maker Jonathan Teplitzky, it also stars Jeremy Irvine as a young Lomax, and it will go on general release in January.