The Ministry of Information and Security sent out letters on April 13 demanding that companies cease all Internet activities.
Cafe owners have now been given until April 21 to appear before the intelligence bureau to have their cases scrutinized.
The café closures come after rulers issued draconian new directives earlier this month to prevent people accessing banned websites that threaten or criticize the regime.
The state’s Ministry of Intelligence and Security gave all Internet café owners a list of 20 new orders – or face being closed down and arrested by Iran’s cyber police.
Amongst the new rules, article two requires Internet providers to purchase their bandwidth only from state certified companies that can censor the flow of information, and outlaws any connection to the Internet by satellite.
Article 12 bans the use of any software that can bypass state-filtered websites, or the use of any VPN software that disguises the location of the Internet user.
And article ten says service providers must maintain a record of users’ online activities, including the time and date of activity, the IP used, the log of websites visited, and the log of pages visited for at least six months.
The new orders are the latest in a series of tough measures aimed at curbing free use of the Internet, and come after regime censors imposed a crackdown on VPN ports a month ago.