Jordanian authorities are refusing to let Israeli guard leave, keeping him confined to Israeli Embassy compound for further questioning, while Israel claims that the embassy worker has diplomatic immunity under the Vienna Convention.
The kingdom's Public Security Directorate said the incident happened in a residential building in the compound in Jordan's capital.
Reports say that the two Jordanians who have been killed were working for a furniture firm.
"We are holding contacts with Jordanian security and government officials in order to bring the incident to a close ASAP", he said in a statement. It said that the killing of the two Jordanians could have been avoided, blaming Israeli security staff of using lethal force unnecessarily.
The attack, carried out by a Jordanian teenager who reportedly is of Palestinian origin, was the latest in ongoing violence connected to the controversy over new security measures on the Temple Mount that have swept Jerusalem, the Palestinian areas and Jordan.
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Some prisoners have been held in administrative detention for up to 11 years without any charges brought against them. Three Palestinians were killed in the clashes with Israeli security forces that ensued, and hundreds were injured.
On Friday, about 8,000 Jordanians took to the streets of Amman to denounce the added security at the site.
Israeli media said Jordan has demanded to conduct an investigation and has prevented Israeli embassy staff from leaving the premises. Israel's Army Radio, quoting unnamed relative of Jawawdeh, reported that his family was demanding trial and death sentence for the Israeli guard. Jordan is the Muslim custodian of the site.
"The basic interest of both countries is to have this resolved effectively", said Eran Lerman, a former deputy director of Israel's National Security Council, in a conference call with reporters.
The Israeli officer was slightly injured in the incident.
A Jordanian government source, who declined to be named, said Israel was "still examining the request" to quiz the guard involved in Sunday's incident, which according to Israeli officials saw a Jordanian attack the guard with a screwdriver.
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Israeli authorities did not release any information regarding the incident, which comes amid increased tensions between Israelis and Muslims.
(AP Photo/Mahmoud Illean). Israeli border police officers stand near newly installed cameras at the entrance to the Al Aqsa Mosque compound, in Jerusalem's Old City, Sunday, July 23, 2017.
Another tweeted to criticize media coverage for disproportionately representing "Palestinian" violence against Israelis.
Nikolay Mladenov told reporters after briefing the U.N. Security Council behind closed doors Monday that it is "critically important" that the status quo which has been in place at the site since 1967 is preserved.
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