According to the news agency, 37 people were hospitalized with two passengers listed in critical condition.
Passengers said the plane went down in stormy conditions about six miles from the airport and burst into flames.
Airport operator Grupo Aeroportuario del Centro Norte attributed the crash to bad weather, according to Reuters.
It could take months before an exact cause of the accident is known.
Aeromexico confirmed the report of an accident on its Twitter page.
The Embraer 190 aircraft was scheduled to make a flight from Durango to Mexico City when the incident occurred, The Associated Press reported.
Transportation Secretary Gerardo Esparza said on Twitter that 97 passengers were on board, along with four crew members. Jose Aispuro, the governor of Durango, said on Twitter that no deaths have been reported from the crash, though there are reported injuries.
Emergency officials are responding to the scene of the crash.
This is a breaking news report, return for updates.