Flight 22 from Charles de Gaulle Airport landed safely in New York, an airport official said.
It was to be taken to a secure area to be searched, according to ABC News.
The anonymous threatening call was made to a Maryland State Police barrack on Monday morning, police said.
“The caller made a bomb threat involving commercial aviation,” Maryland State Police said in a statement.
Citing an unnamed senior U.S. official, ABC News said the caller made a chemical weapons threat on board the plane.
ABC said the threat was not considered credible.
Representatives of the North American Aerospace Defense Command and the FBI, which were handling the investigation, were not available for comment.
Air France also could not be reached for comment.