After they have been identified, violators will receive "warning text messages as to the consequences", Iranian police said in a statement.
The move is aimed at "preventing resistance against the hijab law", said Saturday's statement, carried by the judiciary's Mizan news agency and other state media.
The statement added that such resistance tarnishes the country's spiritual image and spreads insecurity.
A growing number of Iranian women have been ditching their veils since the death of a 22-year-old Kurdish woman in the custody of the morality police last September. Mahsa Amini had been detained for allegedly violating the hijab rule. Security forces violently put down the revolt.
Still, risking arrest for defying the obligatory dress code, women are still widely seen unveiled in malls, restaurants, shops and streets around the country. Videos of unveiled women resisting the morality police have flooded social media.
Saturday's police statement called on owners of businesses to "seriously monitor the observance of societal norms with their diligent inspections".
Under Iran's Islamic sharia law, imposed after the 1979 revolution, women are obliged to cover their hair and wear long, loose-fitting clothes to disguise their figures. Violators have faced public rebuke, fines or arrest.
Describing the veil as "one of the civilisational foundations of the Iranian nation" and "one of the practical principles of the Islamic Republic", an Interior Ministry statement said on March 30 there would be no retreat on the issue.
It urged citizens to confront unveiled women. Such directives have in past decades emboldened hardliners to attack women. Last week a viral video showed a man throwing yoghurt at two unveiled women in a shop.Â
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