According to Al Jazeera, the plan would revoke the credentials of all journalists working for the broadcaster's Arabic and English credentials, shut down its cable and satellite transmissions, and evict staff from their Jerusalem headquarters.
He accused Al-Jazeera of "inciting violence which has caused losses among the best of our sons", referring to the July 14 attack outside the Al-Aqsa Mosque compound in East Jerusalem that killed two policemen.
Al Jazeera has fiercely defended its reputation and says it is independent.
"Lately, nearly all countries in our region determined that Al Jazeera supports terrorism, supports religious radicalization", Mr Kara said. The closure of Al-Jazeera's offices would come under the remit of security officials.
The latter four Arab states have included shutting down Al-Jazeera in a list of demands made to Qatar, which they accuse of supporting extremists. Communications Minister Ayoob Kara said on Sunday that his office has formally proposed the shutdown, suggesting that it could help Israel improve relations with Gulf nations that have taken similar action.
Al Jazeera has met with accusations of anti-Israel bias and antisemitism for years.
Hen said that the GPO had also sent a request to the Israeli security agencies to assess the security risk of banning Al Jazeera and make its decision based on that.
Desertions rattle parties in UP; Akhilesh takes dig at BJP
Yashwant is a close aide of independent legislator from Kunda, Raghuraj Pratap Singh alias "Raja Bhaiyya". Founder president of Rashtriya Shia Samaj, Bukkal Nawab joined the SP in 1992.
He said the broadcaster "will follow up the subject through appropriate legal and judicial procedures".
"Al-Jazeera deplores this action from a state that is called the only democratic state in the Middle East and considers what it has done is risky", said the official from the broadcaster who declined to be named. However, it is also controversial within the Arab world.
Others, including the United Arab Emirates and Bahrain, have blocked its channel and websites.
Israeli Prime Minister Benjamin Netanyahu has been threatening to shut Al Jazeera's operations in the country, accusing the network of inciting violence against Israel.
"I have spoken several times to law-enforcement authorities demanding to close al-Jazeera's offices in Yerushalayim".
Palestinians refused to enter the site for almost two weeks over the new security measures imposed after three Israeli Arabs shot dead the policemen nearby.
The pan-Arab network's offices in the Palestinian territories of Gaza and the occupied West Bank city of Ramallah, however, would not be affected by the current Israeli move.