Netanyahu had accused Al Jazeera of encouraging a recent crisis that took place around a holy site in Jerusalem known to Muslims as Haram al-Sharif.
An official at Al-Jazeera in Doha said the channel "deplores this action from a state that is called the only democratic state in the Middle East and considers what it has done is dangerous".
"I will go through the legislatory mechanism to create the authority in which I can act freely", Kara said.
He said that cable broadcasters had agreed to his proposal to take the station's Arabic and English channels off the air. Journalists and representatives from Al Jazeera were not permitted to attend.
Kara said he would ask the Government Press Office to revoke the accreditation of Al Jazeera's journalists in Israel, where it has about 30 staff. Cable and satellite providers have expressed their willingness to turn off its broadcasts, he said.
The official, who declined to be named, said the broadcaster "will follow up the subject through appropriate legal and judicial procedures".
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Warren is listed as senior treasury assistant at Somerville College, which is part of England's Oxford University network. Court files give his address as Oxford University but his Facebook page says he lives in Swindon, Wiltshire.
The Foreign Press Association, which represents journalists covering Israel and the Palestinian territories for global news organizations, said the move "is certainly a cause for concern". It also was the first Arab-owned news outlet to host Israeli officials and commentators, which some analysts note coincided with Qatar's ties with Israel at the time.
"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 unsafe", said the official from the broadcaster who declined to be named. "If this does not happen because of legal interpretation, I will work to enact the required legislation to expel Al Jazeera from Israel", Netanyahu added.
He was surprised to see the israeli ministry of Communications to justify the decision against his chain of arguments used by the "country of the blockade of saudi Arabia, the united arab Emirates, Bahrain and Egypt".
"Al-Jazeera had a big role conveying the Palestinian narrative with a high professionalism", said Hazem Qassem, a Hamas spokesman.
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 network's offices in the Palestinian territories of Gaza and the West Bank city of Rammallah, would not be affected by the current Israeli move.