Flight attendants subdued the woman, and the plane landed at 1:13 p.m., the Associated Press reported. Police and the Transportation Safety Administration were notified, and the passenger was taken into custody.
The flight continued to Santo Domingo just before 2 p.m.
JetBlue sources said they do not consider it a serious incident. No one was hurt.
A JetBlue spokesman did not say what the passenger was doing. A Metropolitan Washington Airports Authority spokesman told the AP he didn't know why the flight was diverted.
The passenger may have had an anxiety attack, according to a security official familiar with the incident who spoke on condition of anonymity because there had not been an official medical diagnosis.
The passenger was released by mid-afternoon Friday, said airport spokesman Rob Yingling. No charges were filed.
JetBlue was already in the news this week when flight attendant Steven Slater went onto the public address system Monday on a plane at New York's Kennedy Airport after a flight from Pittsburgh, cursed out a passenger he said had treated him rudely, and then slid off the plane on an emergency slide.
Fan, Follow and Text: Get the latest from NBCWashington.com anytime, anywhere. Follow us on Twitter and Facebook. Sign up for our e-mail newsletters and get breaking news delivered right to your mobile phone -- just text DCBREAKING to 622339 to sign up. (Message and data rates may apply.)