Lebanese security sources said a house in a farming area in Masharih al-Qaa near the Lebanon-Syria border sustained a direct hit, The Daily Star reported.
The two injured children are 10 and 12, the newspaper said, adding they were taken to a local hospital in east Lebanon for treatment.
In recent weeks, there has been an increase in incidents, including cross-border shelling and exchanges of gunfire, some of them deadly, the newspaper said.
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