The organization released an official statement saying the Friday attack was in response to Israel's attacks on the Gaza Strip, Ynetnews reported.
"Nothing will stop us from fighting you and hurting you," the group said, addressing its message to Israel.
Israel's Iron Dome rocket defense system intercepted a rocket over the southern city of Eilat Friday, an Israeli army spokesman confirmed.
Two explosions in the city prompted a code red missile alert siren to sound. No one was injured and no property was damaged, the report said.