According to the Hamas-linked Shehab news outlet, the group was operating near the border, east of the city of Jabaliya.
Four Palestinians were killed in the Israeli strikes — three of whom were acknowledged as Hamas fighters.
Though some incendiary balloons were found in southern Israel on Sunday and Monday morning, no fires were caused by them, according to the Fire and Rescue Services.
“Anything that happens going forward in the Gaza Strip is the sole responsibility of the Hamas leadership,” he said.
On Sunday, Liberman announced that Israel was prepared to fully reopen the main crossing for goods into the Gaza Strip on Tuesday if the relative calm in the territory persists until then.