Senior judges ruled that Stephen Fagan, who is in his late 40s and comes from Airdrie, North Lanarkshire, could be named after newspapers argued that the public had a right to know.
Fagan was given a 14-year jail term by a judge sitting in Newcastle upon Tyne in 2006 after being convicted of committing two rapes - and of administering a drug with intent to commit a crime - in the north-east of England.
The dispute over the publication of his name developed earlier this year after he began publicly-funded legal action in an attempt to win the right to live in Scotland following his release from prison on licence.
Fagan, who wants to re-settle in Airdrie, said members of his family might become a "target of hostility" if his return was reported.
And his lawyers argued that there was a need to "prevent the risk of violence".
In June, a High Court judge ruled that Fagan could be named - but he imposed a temporary reporting ban until the case had been looked at by the Court of Appeal.
Three appeal judges yesterday also ruled that Fagan could be named - after a hearing in London - and lifted the reporting ban.
High Court judge Mr Justice Irwin had analysed the anonymity issue at a hearing in London in May and given his judgment in a written ruling in June.