It was the third such shoot-down in three days after Turkey hit two other Syrian aircraft on Sunday.
"Turkish forces targeted one of our warplanes, which led to its fall in the northwest area of Maarat al-Numan," Syrian state media reported.
On Twitter, the Turkish defence ministry confirmed the news, saying "an L-39 plane belonging to the [Syrian] regime has been downed".
Meanwhile, Syrian regime forces overnight took over the key city of Saraqeb, which lies at the junction of the M4 and M5 commercial highways that connect the country's major cities.