The deal ends months of haggling which saw French President Francois Hollande pressing his US counterpart Barack Obama to intervene and lighten the punishment.
Agreement on the record fine, approved by the bank's board of directors at a special weekend meeting in Paris, is due to be announced Monday after markets close at the New York Stock Exchange around 4:00 pm (2000 GMT).
The US Justice Department and New York banking regulator Benjamin Lawsky will make separate announcements, another source said, also speaking on condition of anonymity.
BNP declined requests for a public comment.
AFP