In a statement on Twitter, the foreign ministry also urged any Bahrainis in the Islamic republic to leave immediately.
It cautioned that Iran was seeing "large-scale disturbances and an unstable security situation" as well as "grave acts of violence".
Shiite Muslims, the majority in the small kingdom of Bahrain, generally travel to Iran for religious reasons.
Relations between the Sunni-ruled monarchy and Shiite Iran are strained over allegations by Manama that Tehran interferes in its internal affairs.