Gaza health official Ashraf al-Kidra said a 20-year-old man was killed and 19 people were wounded.
Israel's military said roughly 300 Palestinians approached the security fence at several locations in southern Gaza, tried to damage it and cross into Israel. Soldiers fired warning shots in the air to distance the Palestinians from the fence, but after they refused to move back, troops fired at their legs, the military said. It also said a Palestinian infiltrated into Israel in the course of the unrest, but he was returned to Gaza.
The truce allowed both Hamas and Israeli Prime Minister Benjamin Netanyahu to step back from the brink of a full-fledged war. Over eight days, Israel's aircraft carried out some 1,500 strikes on Hamas-linked targets, while Gaza fighters peppered Israel with roughly the same number of rockets.
The fighting killed 166 Palestinians, including dozens of civilians, and six Israelis.
In Cairo, Egypt is hosting separate talks with Israeli and Hamas envoys on the next phase of the cease-fire - a new border deal for blockaded Gaza. Hamas demands lifting of all border restrictions, while Israel insists that Hamas must halt weapons smuggling to the territory.
In Israel, a poll showed that about half of Israelis think their government should have continued its military offensive against Hamas.
The independent Maagar Mohot poll released Friday shows 49 percent of respondents feel Israel should have kept going after squads that fire rockets into Israel. Thirty-one percent supported the government's decision to stop. Twenty percent had no opinion.
Twenty-nine percent thought Israel should have sent ground troops to invade Gaza. The poll of 503 respondents had an error margin of 4.5 percentage points.
The same survey showed Netanyahu's Likud Party and electoral partner Israel Beiteinu losing some support, but his hard-line bloc would still able to form the next government. Elections are Jan. 22.