On Thursday, a reformist website reported that a member of a group seeking to restore Iran's monarchy has been sentenced to death for his involvement in the unrest, identifying him as Mohammad Reza Ali Zamani.
Judiciary officials were not available to confirm if he was the "MZ" mentioned by ISNA on Saturday.
On Friday, Amnesty International urged Tehran to lift the death sentence on Zamani. A member of the Kingdom Assembly of Iran, he was among scores of arrested people in the post-vote mass demonstrations, it said.
Bashiri Rad said the death sentences were "not final and they can still be appealed to the supreme court."
He also said some other defendants received their sentences and they have appealed, but did not give the details of the verdicts.
Mahmoud Ahmadinejad's re-election as Iran's president in a controversial June 12 vote was followed by mass street protests over alleged vote-rigging.
Iranian authorities alleged the protests were sponsored by hostile nations.
The opposition said at least 69 people were killed and thousands arrested in a crackdown that followed the protests.
Most of those detained have been released, but more than 100 prominent opposition supporters are now on trial on accusations of plotting to use the anti-election protests to overthrow Iran's clerical leadership.