A ceasefire with Iran-backed Hezbollah took effect on Friday after months of escalating violence but on Saturday Israeli strikes killed at least 20 people in Lebanon, Lebanon's state news agency NNA reported.
Israel said the strikes were a response to projectiles fired by the Iran-backed group at its troops in southern Lebanon, prompting attacks on what an Israeli official described as "Hezbollah targets".
A Hezbollah official told Reuters the group was committed to the ceasefire as long as Israel adheres to it, adding that Israeli forces do not have the right to freedom of movement in south Lebanon.
The official said Hezbollah forces have not fired on Israeli troops since 6.30pm on Saturday.
Security sources told Reuters Israel had also launched no major strikes on Lebanon since the same time.
That represents the longest spell without major strikes since the war in Lebanon between Hezbollah and Israel began on March 2.
When asked by Reuters about the last time Israel fired on Lebanon or engaged with Hezbollah, the Israeli military declined to provide a "specific time".
The Israeli military did not immediately respond to a request to comment on the claim they have ceased firing after 6.30pm on Saturday.
Iranian officials have said Lebanon is the focal point for Sunday's peace talks with the United States in Switzerland after the US and Iran signed a framework to halt the war between them that began at the end of February, escalating tension across the region.
The Israeli military invaded parts of southern Lebanon.
Hezbollah maintains it has the right to fight Israeli forces in Lebanon but would halt attacks on northern Israel.
Katz said Israeli troops would remain in all positions in what it calls a security zone, which extends about 10km into southern Lebanon.
Israel says that is to protect northern Israeli communities.
"All of the IDF's achievements in the campaign in Lebanon are being preserved," Katz said in Sunday's statement.
