Embassy of the United States, Baghdad
The airstrikes came just hours after an attack killed and wounded American and British servicemen at a base north of Baghdad.
No casualties have been reported from the sites of the rocket attacks.
Pro-Iran protesters gathered outside the U.S. embassy on Wednesday, setting parts of the compound on fire, a day after demonstrators broke into the property.
The president says he wants to bring home American troops. He keeps resisting diplomacy that could actually secure U.S. interests abroad.
The senator tweeted about the U.S. response to a breach of the U.S. embassy in Baghdad.
The incident took place during Ashoura commemorations, when hundreds of thousands of people converge on the city of Karbala.