Pro-Palestinian, anti-Israel protesters rush the Melbourne branch of the Miznon restaurant in Melbourne, smashing a window and terrifying diners, the Herald Sun newspaper reports.

Activists say they targeted the restaurant, owned by Israeli celebrity chef Eyal Shani, because his business partner, entrepreneur Shahar Segal, advocates on behalf of the controversial US- and Israel-backed Gaza Humanitarian Foundation aid group.

Meanwhile, the local Jewish Community Security Group reports an attempt to burn down the East Melbourne Synagogue.

The group says the door to the synagogue was burned, but no injuries were caused and the rest of the building remained untouched.