One of the Jordanians was critically wounded and later died at a hospital, according to Hala Akhbar, a news site linked to the Jordanian military.
"What makes me even angrier is the fact that the Israeli Prime Minister congratulated the guard for his actions".
Jordan's public prosecutor's initial investigation has found the Israeli guard responsible for the killings and of possession of a firearm without a licence.
The move enraged the Muslim world and triggered violence.
King Abdullah on Thursday also paid tribute to the families of the two Jordanians and stressed on Jordan's respect of global laws.
Israel said all its diplomats were safe.
The incident, the most serious since Jordan and Israel signed a peace treaty in 1994, has provoked a diplomatic crisis between the neighboring states. During the incident, the Jordanian worker was killed, but the landlord was injured as well.
The incident came at a time of heightened tension in the region over a Jerusalem holy site.
Erdogan spoke to his party's legislators in parliament on Tuesday and called on all Muslims to defend the holy sites by visiting Jerusalem at every occasion or by sending aid to Muslims there.
The king stressed the need to "remove the measures taken by the Israeli side since the recent crisis broke out" and to agree on steps that would prevent another escalation in the future, Petra said.
Israel on Monday made a decision to remove the metal detectors placed at the entrance to the compound surrounding the Temple Mount or al-Aqsa mosque.
The guard returned to Israel a day later because of diplomatic immunity.
Netanyahu was also captured on Israeli media smiling as he hugged the guard.
The crisis was resolved after a phone call late on Monday between Israeli Prime Minister Benjamin Netanyahu and Jordan's King Abdullah II.
Initial checks suggested the two Jordanian men had entered the embassy compound as workmen, the statement said.
Friedman said "we were able to diffuse the situation very quickly that under other circumstances could not have ended as successfully".
PNN sources said that the security guard responded to the stabbing by shooting the workman dead. Since then, Muslims have administered the shrine, with Jews allowed to visit, but not to pray there. The last of them were removed on Thursday.
The security official, who was slightly wounded, defended himself.
"To this end, the Security Cabinet will reconvene on the issue later today".
Israel says the security guard shot a Jordanian who had attacked him with a screwdriver and a second Jordanian was inadvertently killed in the gunfire.
- Advance Telecom brings Nokia 5 to Pakistan
- North Korea responds to Central Intelligence Agency director Mike Pompeo's statements
- Talent Not an Issue for England's New Manager
- Nintendo Switch Has Now Shipped Over 4.7 Million Units Worldwide
- Most active Western Conference teams this offseason
- Review of Plarium's Browser MMO Game Stormfall: Age of War
- Best ways to make your website stand out from the rest
- Protesters gather against Trump ban on transgender troops
- India vs Sri Lanka 1st Test Prediction, Match Preview & Playing 11
- The Hammerson plc (HMSO) Rating Reiterated by Credit Suisse Group