Israel has stepped up its military activity in Jenin in recent weeks in response to a series of deadly attacks inside Israel.
The crossing is used by 12,000 Palestinians with permits to enter Israel for work. Israel had closed the crossing on May 3 ahead of Israel's national memorial and independence day amid violence.
The council statement reiterated "that journalists should be protected as civilians" and also condemned the injury to Abu Akleh's colleague.
The scenes of violence were likely to add to the sense of grief and outrage across the Arab world that has followed the death of Abu Akleh, who witnesses say was killed by Israeli troops.
It was the latest episode of violence during weeks of Palestinian attacks in Israel.
Israeli police said Sunday forces captured two Palestinians who killed three people in a stabbing attack last week and fled the scene, sparking a massive manhunt and keeping the country on edge.
A delegation under the leadership of Tomar is going to visit Israel from May 8-11, 2022, on the invitation from Oded Forer, Minister of Agriculture of Israel.
India is also looking at furthering its ties with Israel, UAE and US in a new grouping.
PM Narendra Modi had visited the Jewish state in July 2017, and this year also marks 30 years of the full diplomatic relations between the two countries.
Flaying the previous Congress regime for its lax security measures, he said India used to issue statements whenever terror attacks were carried out but things have improved after Modi became the PM.
Tensions have been heightened with the Palestinians recently following a series of deadly Palestinian attacks in Israeli cities and Israeli military raids in the occupied West Bank.
Israel was founded in 1948 as a sanctuary for Jews in the wake of the Holocaust.
Israeli tanks fired into southern Lebanon early on Monday in response to a rocket fired from the country, the Israeli military said.
Yair Lapid made the comments following days of clashes between Israeli police and Palestinians at the contested holy site, which is revered by Jews and Muslims.
The violence in Jerusalem, a string of deadly attacks inside Israel, and raids across the occupied West Bank have raised fears of another war between Israel and Hamas like the one last year.