The company sold 39.9 million shares at $32 per share to investment fund manager Paulson & Co Inc.
Anglo American had previously stated that the investment was non-core and the company intended to dispose of its holding in the gold miner.
At the end of 2008, Anglo American held a 16.2% stake in AngloGold, but earlier this year, it sold 17.3 million shares.
Total proceeds from the sell-off was $1.77 billion and Anglo American no longer holds any shares in AngloGold.