JERUSALEM - A senior member of Gaza's ruling Hamas movement on Sunday made a rare appeal to the Israeli public to halt escalating cross-border fighting, telling an Israeli radio station in fluent Hebrew that Hamas is ready to stop its rocket fire if Israel ends its attacks on Gaza.

With fighting continuing early Sunday, Hamas' deputy foreign minister, Ghazi Hamad, delivered the message to state-run Israel Radio. "We are interested in calm but want the Israeli military to stop its operations," Hamad said in Hebrew.

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Hamas refuses to recognize Israel, but Hamad and other leaders of the Islamic militant group learned Hebrew during stints in Israeli prisons.

Other Hamas officials said they were in touch with mediators in hopes of restoring calm.

Hamad spoke shortly after Palestinian militants in Gaza fired several mortar shells and rockets into southern Israel. There were no reports of injuries, and Israel did not retaliate for the latest strikes.

Israeli leaders sent mixed messages Sunday.

Defense Minister Ehud Barak said if militants in Hamas-ruled Gaza cease their attacks, so would Israel.

But Prime Minister Benjamin Netanyahu took a more combative tack. "If the attacks on Israeli citizens and soldiers continue, the response will be far harsher" than it has been, Netanyahu told his Cabinet.

The violence escalated a week ago when an Israeli airstrike killed three Hamas militants who Israel said were planning a cross-border kidnapping. On Thursday, Hamas militants fired a guided anti-tank missile at an Israeli school bus, wounding the two people on board, including a teenage boy who was critically hurt.

Since Thursday, Palestinians fired more than 120 rockets and mortars into southern Israel, prompting a series of Israeli reprisals that have killed 19 Palestinians, including six civilians, and wounded 65 others. It has been the most intense fighting between Israel and Gaza militants since a major Israeli offensive in the Palestinian territory ended in January 2009.

While neither side appears interested in all-out war, the fear is that an isolated incident could easily spark an Israeli offensive because of the combustible situation that has developed over the past month.

Mohammed Awad, Hamas' foreign minister, told the group's Al-Quds TV station that there was a "sustained effort" to halt the fighting. "I can say we were in contact with Egypt, Turkey and the United Nations," he said.

Islamic Jihad, a smaller Palestinian militant group, also called for a halt to the violence.

Israel invaded Gaza in December 2008 in an attempt to stop years of persistent rocket fire at Israeli civilians near the Palestinian territory. Some 1,400 Gazans, including hundreds of civilians, and 13 Israelis were killed in the three-week offensive.

Until the recent flareup, cross-border violence remained at a relatively low level.

However, the balance of power has gradually shifted since the war.

On Thursday, Israel firkets. The system, Iron Dome, has now successfully shot down eight projectiles aimed at Israeli cities, the military said, though Israeli officials say it cannot provide a complete defense.

Israel says Hamas, meanwhile, has acquired deadlier weapons since the war. It says the group now has rockets capable of striking deep into Israel, anti-aircraft missiles and sophisticated anti-tank weapons like the laser-guided missile that hit the bus on Thursday.