Eldad asked the attorney-general, Yehuda Weinstein, to launch a criminal investigation against any Israelis who took part in the Neturei Karta delegation, and to order their prosecution.
A small ultra-Orthodox Jewish sect, Neturei Karta believes only the coming of the Messiah will cause Israel's reestablishment. The group therefore rejects Zionism and opposes the existence of the State of Israel.
Arabic language pro-Hezbollah radio station al-Nour ('The Light') reported on its website Monday that Hezbollah leader Sheikh Nabil al-Kauk received a delegation from Neturei Karta.
Rabbi David Weiss visited al-Kauk, the Hezbollah official in charge of southern Lebanon, as part of Neturei Karta's participation in Friday's Global march to Jerusalem, al-Nour said.
Neturei Karta members took part in Friday's Global March to Jerusalem in Jordan and Lebanon.
The pro-Hezbollah station said Weiss used the visit to call for the "demise of the so-called state of Israel" and that he said Jewish identity had been "stolen by the global Zionists."
According to al-Nour, Kauk called Weiss's visit a "slap in the face for the Zionist apartheid entity in Israel" and called on Neturei Karta to "expose the usurping entity's ant-Jewish, anti-Islam and anti-Christian [stance]."
In the past, Weiss has given interviews with Iran's state-owned news agency, IRNA, in which he expressed his desire for Israel's demise.