Firefighters spokesman Pawel Fratczak said the collision took place Wednesday near the city of Radom, 100 kilometers (60 miles) south of Warsaw.
Fratczak said each plane carried two people. He said one fell to the ground and burst into flames, killing both on board, while the two in the other plane were injured.
The accident comes four days after one of Poland's worst recent passenger plane crashes, in which a plane carrying parachutists crashed and burst into flames in southern Poland, killing 11 people and injuring one.
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