The report says the six-year prison term of Ahmad Montazeri, son of Ayatollah Hossein Ali Montazeri, was suspended after approval by the country's Supreme Leader Ayatollah Ali Khamenei following a request by a top cleric.
The report did not identify the cleric who made the request.
A court had sentenced Ahmad Montazeri to prison in November for publishing a tape recording of his father that condemns the execution of thousands of prisoners in 1988.
He began serving his prison term in February but soon was released. The late Montazeri, who died in 2009, was an outspoken critic of the country's ruling establishment.