Opposition candidates have won council seats in two Siberian cities where anti-corruption blogger Alexei Navalny campaigned before being poisoned.
The pro-Kremlin United Russia party lost its majorities on the city councils in Novosibirsk - Russia's third largest city - and in Tomsk.
But it has claimed a clear win overall in the local polls, seen as a big test of its popularity.
Mr Navalny collapsed on a flight from Tomsk on 20 August.
Most results in the elections have now been counted. But there have been many reports of irregularities. The independent monitoring group Golos said observers had been obstructed by officials at some polling stations and there were reports of ballot-stuffing.
Voting was spread across three days; this was defended by the organisers as necessary to curb coronavirus infections. The opposition, however, argued that the extra time made it easier for results to be fabricated