Graff chairman Laurence Graff said: "My love affair with diamonds is life-long and crafting the Graff Lesedi La Rona has been an honour.
"This diamond, our diamond, is beyond words.
"All our expertise, skill and accomplishment went into crafting this incredible diamond masterpiece, which is extraordinary in every way.
"The Graff Lesedi La Rona is an exceptional diamond with an exceptional cut and exceptional proportions, earning its place in history as the largest and finest of its kind in the world."
Some 66 'satellite' diamonds were also polished from the original rough stone, Graff added.
Lesedi La Rona means "Our Light" in Tswana, the main language of Botswana.