Israeli police have arrested three ultra-Orthodox Jewish suspects in connection with hate graffiti sprayed at the national Holocaust memorial and two Israeli army memorials.

Police spokesman Micky Rosenfeld says the suspects admitted to vandalizing the sites.

The Yad Vashem Holocaust memorial complex was sprayed earlier this month in 12 different places with slogans such as "Hitler, thank you for the Holocaust." One was signed "world ultra-Orthodox Jewry."

Many ultra-Orthodox Jews oppose the existence of Israel because they believe a Jewish state should not be established before the coming of the Messiah. A small number of extremists believe the myth that Israel's founders conspired with Hitler to bring about the Jewish state.

The suspects are to appear before a Jerusalem court on Tuesday.