"We have been surprised by the reactions of some who have made comments expressing their doubts about the aims of the project," the official Petra news agency quoted Nsur as saying.
Jordan needs international help over refugee crisis-King Abdullah
"Because we respect the point of view of the Palestinians... we believe the project is no longer consensual, but a potential source of conflict, and have decided to end it," he said.
On March 20, Jordan said it would set up 55 security cameras around the flashpoint compound to monitor any Israeli "violations".
The site -- revered by Jews as their holiest site, the Temple Mount -- is administered by a Jordanian trust or "Waqf".
In October, after meeting Jordan's King Abdullah II and Palestinian leader Mahmud Abbas, US Secretary of State John Kerry endorsed a plan for cameras at the site in a bid to calm repeated disturbances. Israeli Prime Minister Benjamin Netanyahu agreed.
Kerry hailed the agreement as an important breakthrough at the time, and on Monday his spokesperson expressed disappointment that the plan has apparently failed.
"We still see the value in the use of cameras," US spokesperson John Kirby said.
"So the Jordanians can speak to this decision that they've made to halt the project. We think it's unfortunate, as we continue to believe in the value of that tool for that purpose and we continue to urge all sides to restore calm and reduce the violence."
Nsur said Amman's main objective had been to install surveillance cameras "at the compound, not inside the mosques, to document repeated Israeli aggressions at the holy places".
EU warns against ‘provocation’ at Al Aqsa mosque
Firebrand Israeli Arab cleric Raed Salah, leader of the Islamic Movement, had called on Jordan to reconsider the project, fearing that it would become "the eyes of Israel".
The compound in east Jerusalem, which was occupied by Israel in the 1967 Six-Day War and later annexed in a move not recognised internationally, houses the famed golden Dome of the Rock and the Al-Aqsa mosque.
Clashes between Palestinian youths and Israeli security forces erupted at the compound last September amid fears among Muslims that Israel was planning to change rules governing the site.
Netanyahu has repeatedly said there are no such plans.
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