The "names" of the prisoners, the statement said, will be published later this week.
"Twenty of the convicts will be executed in accordance with the 'boosting public security plan' and disturbing the public order," the statement added.
"Sentences for [other] offenders with records of violating the 'public security plan' will soon be handed down by the [judges] and published," the statement said.
The hanging orders came despite repeated condemnation by the international community.
On Thursday, the EU current president France issued a statement calling on the mullahs' regime to halt the death by stoning orders for 9 prisoners – eight women and one man.
Likewise, on July 24, France, on behalf of the bloc, expressed grave concern over the imminent death sentences for two teenagers, Behnood Shojaee and Mohammad Fadaei. Both were under 18 at time of the alleged crimes.
On July 22, the clerical regime passed a judgment to cut off the hands of three prisoners identified as Ali, 39; Safar-Ali, 35 and Rahmant-Allah, 40; for petty theft.
The Rome-based Hands Off Cain, which campaigns to stop the death penalty, said on Friday that while countries were increasingly renouncing the death penalty, "Executions jumped by a third in Iran" last year.
According to Hands Off Cain, the mullahs' regime executed 355 prisoners in 2007.