Russian foreign minister visiting Israel Monday for Syria talks
The two leaders have held a number of discussions in recent months on the Syrian conflict and Iran's military presence there, which Israel opposes.
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Netanyahu said at the start of a cabinet meeting that Russian President Vladimir Putin requested the meeting with Lavrov and General Valery Gerasimov "in a conversation with me a few days ago".
A series of strikes that have killed Iranians in Syria have been attributed to Israel.
Iran is Israel's arch-enemy and Netanyahu has pledged to keep it from entrenching itself militarily in Syria.
Both Tehran and Moscow are backing Syrian President Bashar al-Assad in the conflict.
On June 19, Syrian government forces launched a Russia-backed offensive to retake Daraa and Quneitra provinces in the country's south, near the Israeli-occupied Golan Heights.
Regime forces have now regained control of most of the two provinces through a combination of deadly bombardment and Moscow-brokered surrender deals.
Israel is eager to obtain guarantees that Iranian forces and allied groups, such as Hezbollah, are kept away from the Golan.
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