Ukraine's defence ministry says another Russian general, Lt Gen Yakov Rezantsev, was killed in a strike near the southern city of Kherson.
Rezantsev was the commander of Russia's 49th combined army.
A western official said he was the seventh general to die in Ukraine, and the second lieutenant general - the highest rank officer reportedly killed.
It is thought that low morale among Russian troops has forced senior officers closer to the front line.
In a conversation intercepted by the Ukrainian military, a Russian soldier complained that Rezantsev had claimed the war would be over within hours, just four days after it began.
Ukrainian media reported on Friday that the general was killed at the Chornobaivka airbase near Kherson, which Russia is using as a command post and has been attacked by Ukraine's military several times.
Another lieutenant general, Andrei Mordvichev, was reportedly killed by a Ukrainian strike on the same base.
Kherson was the first Ukrainian city to be occupied by Russian forces, although there are reports that daily protests are held there against the Russian occupation.
