The measures include 24-hour coverage of Temple Mount, which is home to the Al Aqsa Mosque, the third holiest site in Islam.
US Secretary of State John Kerry said that Israel had promised to maintain the tradition that only Muslims are allowed to pray at a holy site in Jerusalem, an issue at the centre of recent violence.
"Israel will continue to enforce its long-standing policy on religious worship ... at the Temple Mount/Haram al-Sharif, including the fundamental fact that it is Muslims who pray on the Temple Mount/Haram al-Sharif, and non-Muslims who visit," Kerry said after meetings in Amman.
He added that Israeli officials and the Muslim Waqf, custodians who manage the site which houses the al-Aqsa Mosque, Islam's third holiest site, would meet to discuss ways of easing tensions.
"Now, I hope that based on these conversations we can finally put to rest some of the false assumptions, perceptions about the Haram al-Sharif/Temple Mount," Mr Kerry said after meetings with Jordan’s King Abdullah II and Palestinian Authority President Mahmoud Abbas.
"Those perceptions are stoking the tensions and fueling the violence, and it is important for us to end the provocative rhetoric and to start to change the public narrative that comes out of those false perceptions."
Israeli-Palestinian strife has risen sharply in recent weeks as Arab states and Palestinians have accused Israeli forces of violations at Jerusalem's al-Aqsa mosque.
More than 50 Palestinians, half of them assailants, have been shot dead by Israelis at the scene of attacks or during protests in the West Bank and Gaza since October 1. Nine Israelis have been stabbed or shot dead by Palestinians.
Among the causes of the turmoil is Palestinians' anger at what they see as Jewish encroachment on the al-Aqsa mosque compound in Jerusalem's walled Old City. The compound is Islam's holiest site outside Saudi Arabia and is also revered by Jews as the location of two ancient Jewish temples.
The Palestinians waged two previous intifadas against Israel - in the late 1980s and in 2000-2005. Interim peace deals were signed two decades ago, but follow-up negotiations on a state Palestinians seek in the West Bank and Gaza Strip with East Jerusalem as their capital have gone nowhere.