Jordanian MP Kais Zayadin, rapporteur of the Foreign Affairs Committee in Parliament, wrote a post on social media calling on the global community to set punishments for Israel, as it has "executed unarmed Palestinian citizens, without a trial".
Hundreds of Jordanians, responding to a Muslim Brotherhood call, demonstrated in Amman on Saturday, calling for the "liberation of Al-Aqsa".
Netanyahu had said the compound could reopen Sunday after security was assessed, and rejected Jordan's criticism.
Clamping down on Muslim worship at the holy mosque and sealing the same amounts to a flagrant violation of worldwide law as well as global human rights instruments, namely the Universal Declaration of Human Rights (UDHR 1948) and the worldwide Covenant on Civil and Political Rights (ICCPR 1966) to which Israel is a signatory, clearly enshrine the right to freedom of religion, of which freedom of worship forms an integral part.
One Jerusalemite said on his social media account: "Before criticising the shooting, people living outside of Palestine should look at the bigger picture and think why Israelis are still living in Palestine and attacking Al Aqsa Mosque on a daily basis".
"I decided that as of tomorrow, in the framework of our policy of maintaining the status-quo, we will gradually open the Temple Mount, but with increased security measures", he said. A statement issued by the White House urged patience, saying it "applauds and welcomes" Israel's decision on the matter.
Palestinian president Mahmud Abbas and Netanyahu spoke by phone on Friday as tensions rose.More news: Terry takes Aston Villa captaincy
Hussein was released later Friday after being questioned over his call for Muslims to come to Jerusalem following the closure, another of his sons said.
Israeli police officers stand guard outside the Damascus Gate in Jerusalem al-Quds' Old City on July 15, 2017.
The Haram al-Sharif/Temple Mount is central to the Israeli-Palestinian conflict, with Palestinians fearing Israel may one day seek to assert further control over it.
It is the third-holiest site in Islam and the most sacred for Jews.
It is located in East Jerusalem, occupied by Israel since the 1967 Middle East war.
Over 300 Palestinians have been killed by Israeli force since October that year, when the clashes intensified.