When the accident occurred, the aircraft of the AT8T air tractor fought against the episcopal fire near Caliente. Caliente is located about 150 kilometers northeast of Las Vegas.
At the time, there was only one pilot on board each aircraft, the FAA said. CNN was unable to confirm their status.
The FAA and the National Transportation Safety Board (NTSB) will investigate the cause of the collision.
According to the Bureau of Land Management, Bishop Fire has grown to 7,000 acres overnight and is expected to be limited to August 5.
The cause of the fire is unknown.