In Khabarovsk, close to the border with China, windows were shattered.
In the other incident, in the southern Russian city of Astrakhan, the assailants threw a Molotov cocktail.
No injuries were reported in either incident.
Russia's chief rabbi, Berel Lazar, said the Jewish community was shocked.
Moscow Takes On Extremism
COMBATTING THE HATRED: RFE/RL's Russian Service on August 21 spoke with Kamilzhan Kalandarov, a member of the Public Chamber and a leader of the NGO Our Russia. (Read the complete interview in Russian). Kalandarov spoke about efforts the authorities are making to combat the wave of hate crimes sweeping Russia.
Kalandarov: Xenophobia today threatens the national interests of Russia. But I agree that the authorities are making good progress in this matter. First, the order on withdrawing Russian forces from Chechnya was recently signed. That is a big plus because the source of extremism, the sources of Caucasus-phobia are partly in Chechnya. Islamophobia grew dramatically after the first Chechen war. Next, the Public Chamber was created. We have a subcommission on nationalities issues and a subcommission that drafts projects related to xenophobia. This work is ongoing, which is why I think the authorities are really interested in making sure this problem does not go any further.
We should also mention the courts. I think that in many cases judges themselves hold [xenophobic] views. Second, we have not created normal conditions for protecting witnesses. People are not physically protected from various types of influence. Judges are afraid and witnesses are afraid. Because they have to keep living in that city. This defenselessness leads to cases not being pursued and to not-guilty verdicts being issued.
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