The Manchester Evening News reported that the players have been told not to use Twitter and Facebook.
City confirmed to MEN that players at Eastlands have been advised not to set up social networking pages.
Last week, Manchester United posted a statement on its website warning fans that no players from the team maintain personal profiles on social networking websites. A spokeswoman from the club told PRWeek that players are not banned from using the sites but choose not to.
Lewis PR digital director Eb Adeyeri said: ‘Millions of football fans from across the globe use social media sites such as Twitter to debate, discuss and interact with their football icons every day. A blanket ban such as this will put a brick wall between the two. Social media sites are not the enemy. They are a medium for clubs to better engage with their supporters, wherever they may be.'
He added: ‘A better policy would be to encourage them to make use of sites like Twitter but draw up a series of robust usage guidelines - so, for example, players can't talk about internal matters or team selection. This would mean footballers can continue to engage with the supporters while minimising the risk of sensitive information being leaked.'
The move follows a series of stories involving sports professionals being reprimanded for their use of Twitter.
Last week, Liverpool player Ryan Babel hit the headlines for complaining that he had been left out of the line-up for his team's match against Stoke City. Sunderland striker Darren Bent also complained on the social networking site about his previous club Tottenham Hotspur.