Mortazawi said his office will review election campaign violations made in the sending of SMS messages.
He said the office will also investigate offensive statements made in SMS messages.
There is currently no law on SMS or Internet-related messaging in Iran.
Iranian communication authorities claim they keep a record of all SMS messages sent, though some estimates have more than 80 million SMSs being sent in Iran each day.
One expert told Radio Farda that Iranian authorities can, in fact, monitor and trace all SMS messages.
In recent years some student groups, workers unions, and other groups have used SMS to notify each other of meetings, demonstrations, or information about detained colleagues.