Attack claimed by Daesh targeted Shah Cheragh mausoleum in the south-central city, state media say, leaving at least 15 dead and 40 others wounded.
Protests continue in Iran across several universities in Tehran and a few other cities following a violent crackdown on protests in Zahedan on Friday.
At least 41 people have died since the unrest began, mostly protesters but also members of the Iranian security forces, according to an official toll.
Iran's international wrestler Navid Afkari was found guilty of stabbing a water supply company employee in the southern city of Shiraz amid the 2018 unrest.
Videos and pictures posted on social media that were picked up by local news outlets showed an explosion with a bright orange flash, followed by a large plume of smoke.
Attempts by the Islamic Republic of Iran to attract more tourists have taken a significant hit following geopolitical tensions.
The traders' strikes in Iran that began on Monday appeared to have ended on Wednesday but the underlying issues of economic hardships that include currency devaluation and inflation have yet to be resolved.
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