He has received various honours in Russia, including the country's Order of Friendship in 2007.
His death was announced by the Kremlin on Sunday.
Russian president Vladimir Putin hailed Mr Blake as an “outstanding professional of special courage and life endurance.”
“Throughout the years of his hard and strenuous efforts he made a truly invaluable contribution to ensuring the strategic parity and the preservation of peace on the planet.”
According to the New York Times, Mr Blake is survived by three sons in the UK, his Russian wife, their son and several grandchildren.
Mr Blake’s father, Albert Behar, was a Sephardic Jew born in Turkey who married a Dutch protestant. He became naturalised British after serving during the First World War.