A father and son who opened fire on a Jewish festival at Sydney's Bondi Beach on Sunday appear to have been driven by "Islamic State ideology," Australian Prime Minister Anthony Albanese said on Tuesday.

Albanese told Australian Broadcasting Corporation radio that the two perpetrators of the fatal mass shooting that targeted an event celebrating the first day of the Jewish festival of Hanukkah acted alone to commit a "terrorist act."

"We are certainly reaching out to Five Eyes partners, our security partners internationally as well, to see precisely if there are any links there," Albanese said.