The Israeli Embassy on Thursday annouced the meeting, which took place on Wednesday.
A delegation of Russian Duma deputies traveled to Israel on February 25.
The following day, Knesset member Rina Frenkel appealed to Prime Minister Benjamin Netanyahu to develop a plan to evacuate Jews from Ukraine.
She said "in light of recent events, [the Jewish] community [in Ukraine] is under a clear and present danger."
Although there have been some anti-Semitic incidents since protests broke out in Ukraine in November, Jewish leaders say there hasn't been a surge in anti-Semitism.
Kerry said he urged Russia to join the United States and other countries to help stabilize Ukraine and not take any provocative actions.
Speaking Thursday at a Washington news conference with German Foreign Minister Frank-Walter Steinmeier, Kerry said he had also spoken to Lavrov about the situation in Ukraine’s Crimea region, which has many pro-Russian residents and where tensions are high since the collapse of the government of pro-Russian Ukrainian President Viktor Yanukovych.
Russia says its military exercises involve some 150,000 troops.
Witnesses say, those men with AKs who seized Simferopol airport speak Russian with thick Moscow accent
— Myroslava Petsa (@myroslavapetsa) February 28, 2014
#Kerry: #Lavrov told me #Russia had nothing to do with #Crimea's parliament being taken over
— Myroslava Petsa (@myroslavapetsa) February 28, 2014
Ukrainian interior minister Avakov says "invasion & occupation" under way in Crimea https://t.co/179J8LJrNN
— Leonid Ragozin (@leonidragozin) February 28, 2014
Sign reads: "The fascist monkeys shall not pass" RT @smirnova_welt: Checkpoint on the road to Sevastopol pic.twitter.com/nTXeNTDrPv #Crimea
— Patrick Jackson (@patrickgjackson) February 28, 2014
...under new bill, region cud join Russia if allowed to by the state it previously belonged to. I.e. Yanukovych could give Crimea to Russia.
— Robert Coalson (@CoalsonR) February 28, 2014
#Avakov on #Crimea: It's a straightforward provocation to cause bloodshed in sovereign country. It's outside Int Min's competence.
— Myroslava Petsa (@myroslavapetsa) February 28, 2014