The government at one point owned 92% of AIG.
Treasury owns 15.9% of AIG, or 234.2 million shares. The department said it's selling the remaining stock in an underwritten final offering at $32.50 per share, expecting to raise $7.6 billion. Monday's closing price was $33.36.
The offering comes four years after AIG was crippled by the financial crisis, requiring a government bailout, called the Troubled Asset Relief Program, which eventually swelled to $182 billion. The government at one point owned 92% of the firm.
The Treasury Department still holds warrants allowing it to purchase roughly 2.7 million AIG shares that will also be sold in the future.
Related: Chinese investors take 80% stake in AIG aircraft leasing unit
In an internal memo to employees, AIG CEO Robert Benmosche said the Treasury sale "marks one of the most extraordinary -- and what many believed to be the most unlikely -- turnarounds in American business history."
"This has been a long walk since September of 2008," Benmosche wrote.
AIG (AIG, Fortune 500) shares rose 4% in midday trading Monday.
Neil Barofsky, who oversaw TARP from 2008-2011 and is now a senior fellow at New York University School of Law, said the sale is "very good for the taxpayer." But he also called it "misleading, in that nearly a third of that stock came from the Federal Reserve, not from purchases made by Treasury through the TARP program."
Related: Too early to call AIG bailout a success
In an email to CNNMoney, Barofsky said the fact that Treasury paid out AIG's creditors at 100 cents on the dollar created a "massive moral hazard" and incentivizes "the exact same types of behavior that led to the last crisis and will almost certainly cause the next."
In September, the Treasury Department sold $20.7 billion worth of AIG shares, reducing its stake in the company from 53.4% to 15.9%. At that time, Treasury said it and the Federal Reserve together had generated a $15 billion profit on the AIG rescue, having recovered $197 billion on a $182 commitment.
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