Footage on Chinese social media site Weibo appeared to show a flaming vehicle on the ground which was being attended to by fire engines.
One vehicle "sustained fuselage damage and caught fire upon landing," Xpeng AeroHT said in a statement to CNN.
"All personnel at the scene are safe, and local authorities have completed on-site emergency measures in an orderly manner," it added.
The electric flying cars take off and land vertically, and the company is hoping to sell them for around $300,000 (£220,000) each.
In January, Xpeng claimed to have around 3,000 orders for the vehicle.
The Chinese company is one of the largest manufacturers of electric vehicles (EVs) in the world, recently expanding into Europe.
The flying cars are made by its subsidiary, AeroHT.

