Delta Airlines says the process has been devised with help from the University of Pittsburgh and includes a video consultation with a doctor.
The airline warns passengers objecting to the mandatory face masks that "any false claims of a disability or health condition to obtain an exemption from wearing a mask or face covering may result in the suspension of travel privileges on any Delta flight".
According to the airline it has added 100 travellers to their no-fly list for refusing to wear a mask.
While airlines in the US including Delta have toughened up their stance on passengers refusing to wear masks, it seems passengers are now policing themselves.
Last month a confrontation was recorded on an American Airlines flight after a passenger refused to put on a mask.
On the July 19 flight from Ohio to North Carolina, a woman was berated by fellow passengers when she would not wear a face covering.
"Just leave. We have flights to get on," one passenger can be heard saying.
The woman, dubbed "Karen" by the video's recorder, is me with rapturous applause when she finally leaves the cabin and the plane is allowed to depart.