Campaigner William Jones, who began the petition to give Alan Turing a Royal pardon in 2011, has said he is "very happy" about today's news.
Talking about the Royal pardon, he said:
"This is fantastic for Alan Turing - but this is not the end of the story for the gay, lesbian and bi-sexual people who were convicted in similar cases.
For them, the campaign continues."
Second World War code-breaker Alan Turing has been given a posthumous royal pardon for a 61-year-old conviction for homosexual activity.Read the full story ›
John Leech, the Liberal Democrat MP for Manchester Withington has been a leading figure in the campaign to pardon Alan Turing.
The gay computer pioneer was convicted of gross indecency in 1952, when homosexual acts were illegal in the UK.
Second World War code-breaker Alan Turing has been given a posthumous royal pardon.
The mathematician from Wilmslow was convicted under homophobic laws in the 1950s.
Turing saved thousands of lives through his code breaking work in the Second World War.
Dr Turing, who died aged 41 in 1954 and is often described as the father of modern computing, has been granted a pardon under the Royal Prerogative of Mercy by the Queen following a request from Justice Secretary Chris Grayling.
For more, read: Centenary of the local inventor of the modern computer
The Prime Minister faced questions today on whether the conviction of scientist Alan Turing will be reversed.
The late mathematician from Wilmslow is widely credited with creating the world's first computer as well as breaking Nazi codes during the second world war. Turing was convicted under homophobic laws in the 50s.
David Cameron says he will look at a possible pardon.
The Cambridge mathematician Alan Turing who saved thousands of lives through his code breaking work in the Second World War, is expected to be given a parliamentary pardon.
Turing, who was prosecuted and convicted over his homosexuality in the 1950s, has already received a posthumous apology.
The MP for Milton Keynes South, Iain Stewart, says a pardon would be 'a final cleansing of the wrong' done to Turing, as Alistair Nelson reports.