The sum, which needs final approval, is far lower than the $14 billion the US authorities had asked the German bank to pay in September.
That fine had caused concerns that a failure of Deutsche Bank could pose a risk to the global financial system.
Credit Suisse also announced a similar deal, while Barclays is now under investigation too.
The sale of residential mortgage-backed securities played a significant role in the 2008 financial crisis.
Several banks in the US have been subject to investigations over allegations of giving mortgages to unqualified borrowers, then repackaging those loans as safe investments and selling the risk on to others. The inquiries related to deals done between 2005 and 2007.
Meanwhile, Credit Suisse has said it has agreed a $5.28 billion deal to settle its own dispute with US authorities over mortgage-backed securities.
Credit Suisse will pay US authorities $2.48 billion, and will also give consumers $2.8 billion in compensation over the next five years.
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