The photo-sharing website has taken the action in light of comments made by Alexei Navalny - the country's most prominent opposition leader - which prompted a demand from Russia's internet censor to restrict access to such posts.
While a spokesperson for Facebook - which owns Instagram - refused to speak specifically about the posts, it revealed it has opted to comply with the internet censor's request.
The spokesperson shared: "When governments believe that something on the internet violates their laws, they may contact companies and ask us to restrict access to that content.
"We review such requests carefully in light of local laws and where appropriate, we make it unavailable in the relevant country or territory.
"We are transparent about any content restrictions we make for government requests with local law in our Transparency Report."
By contrast, YouTube has refused to comply with requests to block a number of video clips, with Roskomnadzor admitting it is still waiting for the Google-owned firm to take action.
The controversy erupted after Mr Navalny's Anti-corruption Foundation uploaded what is alleged to be a video of billionaire Oleg Deripaska meeting with Sergei Prikhodko - Russia's deputy prime minister - on board a yacht.