Activists from the Anti-Maidan movement, which organises rallies and concerts in support of the Kremlin's actions in Ukraine, gave out the first issue on a central pedestrian street.
The four-page magazine has large-format cartoons and carries an 18+ certificate. Its title, Sharzh i Pero, or Cartoon and Pen, evokes Charlie Hebdo.
Established early this year, Anti-Maidan includes groups representing bikers, Cossacks, athletes and veterans of the Afghan and Chechen wars, some of whom have fought alongside rebels in eastern Ukraine.
"All the authors gave their cartoons and verses free of charge.... The issue is all about the events in Ukraine," said Anti-Maidan spokesman Valery Zaborovsky. He said the plan was for it to come out weekly.
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One cartoon shows the leaders of the United States, Britain, Germany and Canada covering their eyes and mouths.
"We in the West have decided all the aggression is coming from Moscow. We've closed our mouths and eyes -- it's not our fault," the caption reads.
"Oh Lennox Lewis, why did you bash him so hard on the noggin?" the caption says, referring to the former world heavyweight champion.
The activists provocatively gave out copies outside a Ukrainian cultural centre with flags flying.