A video published by The Daily Telegraph wrongly suggested Gordon Wood "got away with murder" over the death of his girlfriend Caroline Byrne, his lawyers have alleged in the Federal Court.

Mr Wood spent more than three years behind bars after he was initially convicted in December 2008 of killing Ms Byrne, 24, by throwing her off a cliff at The Gap in Sydney's east in June 1995.

Gordon Wood leaves court in 2017. Credit:AAP/Dam Himbrechts

His conviction was quashed by the Court of Criminal Appeal in February 2012 and he was acquitted. The appeal court found the jury's guilty verdict was "unreasonable" and the prospect that Ms Byrne took her own life could not be excluded.

Mr Wood then sued the State of NSW for malicious prosecution, however he was unsuccessful.