The sale of the recently discovered notebook comes at a time of enormous interest in Turing's life and work generated by Oscar-winning movie "The Imitation Game".
The manuscript, which sold for USD 1.025 million in two minutes of bidding, dates back to the mid-1940s when Turing was working to break the Nazi Enigma code at Britain's Bletchley Park.
The identity of the buyer was not immediately known.
Turing was a computer scientist, philosopher and cryptologist ahead of his time who played a crucial role in breaking Enigma.
The notebook is believed to be the only extensive Turing autograph manuscript in existence and gives an insight into the man whose work when he was just 24 led to the universal computer machine.
It features 56 pages of Turing's notes on the foundations of mathematical notations and computer science.