The Stuxnet worm was found in the control systems for several of Iran's nuclear facilities, including the Bushehr power plant.
The announcement of the detentions was aimed at reassuring Iranians and suggests the cyber attacks caused more alarm than Iran has admitted, according to the Guardian.
Iranian intelligence minister Heydar Moslehi said an intelligence apparatus now in place will not allow any leak or destruction of Iran's nuclear activities.
Stuxnet is considered to be the world's first cyber weapon, and is reported to have infected millions of computers in Iran, India, Indonesia, Pakistan and China.
Stuxnet's origin and purpose is not fully understood, but experts have raised concerns that the worm appears to be designed to attack systems running critical infrastructure.
This means that in theory attackers could break into computers that control critical systems such as power stations, water supply systems and electrical power grids.
Security experts say the Stuxnet worm, which appeared more than a year ago, is one of the most sophisticated pieces of malware seen to date.
This story was first published by Computer Weekly