Ed Miliband has spoken of his "delight" that Alan Turing has received a Royal Pardon.
Reacting to the news on Twitter, the Labour leader posted:
Alan Turing was a hero and an extraordinary academic - his work helped win World War II. I'm delighted he has received a Royal Pardon.
Dr Alan Turing died of cyanide poisoning and an inquest recorded a verdict of suicide, although his mother and others maintained his death was accidental.
There has been a long campaign to clear the mathematician's name, including a well-supported e- petition and private member's bill, along with support from leading scientists such as Sir Stephen Hawking.
The pardon under the Royal Prerogative of Mercy will come into effect today.
The Justice Secretary has the power to ask the Queen to grant a pardon under the Royal Prerogative of Mercy, for civilians convicted in England and Wales.
A pardon is only normally granted when the person is innocent of the offence and where a request has been made by someone with a vested interest such as a family member.
But on this occasion a pardon has been issued without either requirement being met.
David Cameron has paid tribute to Alan Turing for his role in "saving Britain in World War Two" after the famous code-breaker was awarded a a posthumous royal pardon.
The Prime Minister said: "Alan Turing was a remarkable man who played a key role in saving this country in World War Two by cracking the German Enigma code.
"His action saved countless lives. He also left a remarkable national legacy through his substantial scientific achievements, often being referred to as the father of modern computing."
The Bletchley Park computer pioneer Alan Turning has been given a posthumous pardon more than 50 years after being prosecuted for homosexuality.
Turing is widely considered the father of computer science. He went to Cambridge University and during the Second World War he was based at Britain's codebreaking headquarters near Milton Keynes.
He was convicted of in 1952 when homosexuality was illegal in the UK; he committed suicide two years later.
Second World Warcode-breaker Alan Turing has been given a posthumous royal pardon for a 61-year-old conviction for homosexual activity.
Dr Turing, who was pivotal in breaking the Enigma code, arguably shortening the Second World War by at least two years, was chemically castrated following his conviction in 1952.
His conviction for "gross indecency" led to the removal of his security clearance and meant he was no longer able to work for Government Communications Headquarters (GCHQ) where he had continued to work following service at Bletchley Park during the 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.
"Dr Alan Turing was an exceptional man with a brilliant mind," Mr Grayling said.
Bletchley Park, the home of the second world war codebreakers, is to unveil the latest stage in its restoration project.
Hut 11 has been restored thanks to a legacy left by a Bletchley Park veteran and will be officially opened later this morning.
The wartime Turing-Bombe hut was nicknamed the Hell Hole by the Women’s Royal Naval Service (WRNS) who operated the Bombe machines because it was so hot and noisy.
The new exhibition includes quotes from the women, telling the story of their time at Bletchley Park.
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.
Alan Turing is expected to receive a full parliamentary pardon.Read the full story ›
Bletchley Park codebreaker Alan Turing looks set to follow Sir Winston Churchill onto a banknote according to bookmakers Ladbrokes.
Sir Winston will feature on five pound notes due to enter circulation in 2016.
Punters are now speculating as to who will follow suit with Alan Turing the 4/1 favourite.
The maths genius helped crack top secret German codes. His work is credited with shortening the duration of the Second World War.
Nearly 27,000 people have signed a petition for the Bletchley codebreaker Alan Turing to be pictured on the next £10 note.
Turing's been hailed a national hero for his work at Bletchley in Milton Keynes during the Second World War.
In 1952 he was convicted of gross indecency after admitting to police that he was gay.
In response to the petition, the Bank of England's said it welcomes suggestions on historic figures to put on notes.