Earlier in the day, reports said the plane had run off the runway and ended up on its top at the Dayton International Airport.
Firefighters from the Wright Patterson Air Force Base and the airport's fire and rescue team responded to the crash.
Emergency crews worked to extract two occupants from inside the aircraft, according to the Associated Press.
A tweet from the Thunderbirds indicated the incident occurred while the plane was landing at 12:20 p.m.
The U.S. Air Force Thunderbirds Demonstration Squadron is headlining the 43rd annual air show Saturday and Sunday.
No injuries or report of any fuel leaks were immediately reported.
In one of its recent updates, the affiliate explains that both pilots have since been extricated from the crash.
A photographer for WHIOTV said the two-seat Thunderbird landed and was taxing toward the staging area when it appeared a gust of wind flipped the jet. It's unclear about their status, and Air Force spokespeople said they did not yet have further information.
The most important part of this story is that the pilots seem to be doing well.
In 2013, a stunt performer and pilot were killed during the air show when their aircraft crashed during a public demonstration.