The embassy expressed sympathy to the families of the victims and prayed for the souls of the deceased people, IRNA reported.
The embassy statement also acknowledged Iran's support for any possible help, reiterating that Tehran backs Baghdad security measures to stop terrorist operations.
Twin suicide bombs rocked a busy market in central Baghdad on Thursday morning, killing at least 28 people and injuring 73 others. No group has so far claimed responsibility for the bombings.
Security forces said they pursued the two attackers before they blew themselves up. It was the first suicide attack to strike Baghdad in nearly two years, iranpress.com wrote.
Iraq’s media quoted Brigadier General Hazem al-Azzawi, director of Baghdad Operations Command, as saying that a “double explosion” hit a crowded market in the Bab al-Sharji area near Tayaran Square.