The individuals killed in the "fixed-wing, single-engine aircraft" crash were identified as Julian Latterman, 18, and Sydney Miti, 32, state police said in a news release. They were the only occupants.
Authorities arrived at the crash scene, at Mansfield Airport, about 12:30 p.m., Massachusetts State Police said on Twitter.
The Mansfield Fire Department was working to put out the flames, police said. The plane was a Cessna 172, officials said.
A photo from the crash site showed the plane sitting nose down on the ground. Fire officials could be seen as well.
The Federal Aviation Administration (FAA) and the National Transportation Safety Board (NTSB) are among the authorities working the investigation, police said.
An investigator will be on the site early Sunday to examine the aircraft, a NTSB spokesman told The Associated Press.
The airport is about 45 miles south of Boston.
The Associated Press contributed to this report.