A Sharia court ordered the punishment based on the system of "qisas" or fair retribution, Etemad-e Melli newspaper said.
The man identified as Majid proposed several times but was spurned by the woman, identified as Ameneh, the daily reported.
In revenge, he threw acid in her face as she left her work in 2004, it added.
She travelled to Spain for surgery to reconstruct her face but efforts to restore her sight failed.
On returning to Iran, she asked the court for retribution, the newspaper said.
Majid was quoted as saying he did not regret his action but added: "I threw acid on her face so that she would be mine forever.
Judges "unanimously decided to sentence the accused to 'qisas' of his body part, blinding by acid" and to pay compensation, the report said.
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