The call, in a report to be submitted to the ministerial meeting, comes as Israel pressed its campaign of punishing raids on Gaza into a seventh day, and the Palestinian death toll rose to 172, with another 1,230 wounded.
The Arab League "affirmed the necessity of urgent steps for an immediate end to the Israeli aggression on Gaza and providing protection for the Palestinians", the report said.
Israeli "air strikes on Gaza have become a matter that cannot be met with silence any more", it said.
The call echoes a demand by Palestinian president Mahmud Abbas in the West Bank, where the Palestinian Authority is based.
The Israeli campaign was launched in response to rocket fire from Gaza.
So far, no Israelis have been killed since the operation began on July 8, despite 777 rockets hitting Israel and more then 200 others intercepted, the army says.
The Arab League meeting comes amid intense international efforts to broker a truce, and with Abbas seeking UN intervention.
The Arab response has been lacklustre compared with its reaction to an eight-day war in 2012, when it sent Arab ministers to visit the besieged enclave in a show of support.
So far, efforts to secure a ceasefire have been unsuccessful, with Cairo taking more hands-off approach than in 2012, when it brokered an end to the eight-day war.
Ties between Cairo and Hamas, the Palestinian Islamist movement, have worsened since Egypt's military ousted president Mohamed Morsi last July.
Morsi belongs to the Muslim Brotherhood, of which Hamas is an affiliate. After removing Morsi, Egypt's military-installed authorities designated the Brotherhood a "terrorist" organisation.
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