Libertys from the 2012 model year were involved in the incidents reported to the National Highway Traffic Safety Administration.
In both cases, a fire began in the area of the master power window switch. Both drivers were able to exit on the passenger side.
Chrysler spokesman Eric Mayne said Chrysler is cooperating with NHTSA and is conducting its own investigation. NHTSA investigations often lead to vehicle recalls.
Defective window switches have plagued other automakers. Toyota recalled 7.43 million vehicles last fall because friction in the power window switch could cause a fire. And General Motors recalled nearly 200,000 SUVs this spring because corrosion could cause the switches to overheat and burn.
