The Israeli response followed the murder of 13-year-old Hallel Yaffe Ariel, who was stabbed to death by a Palestinian man while she was asleep in her home in Kiryat Arba on Thursday.
An Israeli man was also shot dead in a terrorist attack south of Hebron on Friday. The man had been travelling with his wife and two children, one of whom is a baby and was lightly injured.
The strikes on Hamas - whom Israel blames for all attacks from Gaza - came ahead of the arrival of Turkish humanitarian aid in Gaza.
The cargo ship, part of the agreement between Israel and Turkey announced last week, was expected to dock at Ashdod on Sunday afternoon.