The plane landed at Punta Cana International Airport, and the passenger was taken to the airport's medical center.
Then, according to video taken by a passenger on the plane, this happened:
"I've done this for 36 years, and I think that the man who has said this is an idiot, and I'll say that straight out," a flight attendant says to passengers in the video.
"This is all new territory for all of us. I'm trying to keep you in the loop as best as I can."
The passenger's name has not been released, but Paola Rainieri, vice president of marketing and communications for Grupo Punta Cana, which owns the airport, released a statement saying the man did not test positive for Ebola.
You can watch the whole video here:
Ryan Broderick is a reporter for BuzzFeed News and is based in London.