The commander of Nasser Brigades was injured in the strike which happened between Gaza City and the northern town of Beit Layiha on Thursday, AFP reported.
Israeli fighter jets also carried out three other air strikes on the Gaza Strip overnight, but no casualties have been reported.
Two of the strikes hit the city of Gaza and the third targeted a tunnel near the Egyptian border at Rafah, the witnesses said early Thursday.
On Tuesday, an Israeli tank fired shots at a home in the Gaza Strip, killing at least 10 Palestinians, including four children and injuring over 50 others.
Israel regularly carries out attacks on Gaza, killing and injuring Palestinians. Tel Aviv launched a deadly war on the coastal enclave at the turn of 2009.
Some 1.5 million people in the Gaza Strip are being denied their basic rights, including freedom of movement, and their rights to appropriate living conditions, work, health and education.