At least 20 rocket rounds were launched into southern Israel from Gaza on Monday morning, Israel Defense Force radio reported.
Islamic Jihad, the armed wing of the HAMAS movement, claimed responsibility for the attacks.
No information has been released about casualties as a result of the rocket attacks.
The group said it was a response to a special operation by Israeli forces the previous evening, when eleven Palestinians were injured by Israeli bombing in the town of Rafah in the south of the Gaza Strip.
The Israeli bombing was aimed at a motorcyclist in southern Gaza, in which one militant was injured.
Israel Defense Force radio said the operation was aimed at Palestinian militants who taken part in attacks against Israel from Egypt in June and were involved with militant Islamic groups.