Two rockets were fired at Israel from Gaza, police said on Wednesday, after warning sirens were heard in Israeli towns near the border.
There were no casualties, police said. No militant groups in Gaza issued any claims of responsibility.
A week ago Gaza militants launched their deepest strike at Israel since a 50-day war of last summer, striking near the port city of Ashdod.
Israeli warplanes launched strikes in response at four targets and then the tensions subsided. Israel blamed Islamic Jihad militants for that attack and media reports said Hamas Islamists who dominate in Gaza had arrested militants behind that strike.
Witnesses said the slain man in Gaza was active with a Salafist group, radicals supportive of struggles being led in the region by Islamic State and al Qaeda.