In an announcement on the administration site, Mr Rouhani looked to play down the viciousness.
He stated: "This is nothing. Feedback and dissent are an open door not a risk."
Be that as it may, he likewise promised to act against "agitators and criminals".
Hassan RouhaniImage copyrightEPA
"Our country will manage this minority who serenade trademarks illegal and individuals' desires, and affront the holy natures and estimations of the insurgency," he said.
A later tweet seemed more mollifying, saying that the administration expected to focus on individuals' requests on business issues and defilement.
Iran's Revolutionary Guards Corps (IRGC) has taken an intense line, cautioning against government nonconformists they will confront the country's "iron clench hand" if political agitation proceeds.
The IRGC is an effective power with connections to the nation's incomparable pioneer, and is devoted to saving the nation's Islamic framework. Journalists say it would be a noteworthy acceleration were they to end up noticeably formally engaged with policing the challenges.
Legal Chief Ayatollah Sadeq Amoli-Larijani on Monday required a crackdown on "agitators" and "vandals".
"A few people are misusing the circumstance. This isn't right," he said.
Up to 400 individuals are accounted for to have been captured as of late.