After a backlash stemming from rising prices of fuel, utilities and basic foods, Rouhani's administration is increasingly coming under attack from ultra conservative camps.
"I am proud that the government has created a situation allowing everyone to easily talk and criticise -- even though sometimes (they) make a mountain out of a molehill," he said in remarks broadcast live on state television.
He did not list examples, or name any particular faction, but said those voicing criticism must reveal their political identities and not hide under "the Iranian nation" mantra.
To achieve those goals which he says were set by the people electing him as president, Rouhani contends that an economy buckling under the pressure of international sanctions and dented under years of mismanagement must be fixed.
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He has rallied domestic support -- including the essential backing of Iran's top authority and supreme leader Ayatollah Ali Khamenei -- to engage world powers over the Islamic republic's nuclear ambitions and seek an end to sanctions.
Rouhani's political opponents have been particularly critical of the interim agreement struck in November, under which Iran won modest relief from sanctions and the release of billions of dollars frozen in overseas accounts.
They argue that the concessions Iran made -- curbing and freezing some parts of its nuclear drive -- outweigh its gains.
Iran and the so-called P5+1 group of the United States, Britain, France, China and Russia plus Germany are now seeking a permanent accord against a July 20 deadline.