Earlier in the day, Palestinian gunmen clashed with Israeli troops elsewhere along the volatile Gaza-Israel border.
Gaza's ruling Hamas faction said two of its fighters were wounded in an Israeli air strike.
The violence is further marring a five-month-old truce between Israel and Gaza rulers that began breaking down in early November.
The truce was meant to be renewed next month, and its fate is unclear.
Armed Palestinians have fired dozens of rockets and mortar bombs at Israel in the past three weeks after Israel launched raids that killed about a dozen gunmen, and closed crossing points with Gaza, choking off some food supplies to the coastal territory.