Iranian media say the country's authorities have shut down a reformist magazine that urged negotiations with the United States.
Another reformist newspaper, Arman, reported Sunday that a court had suspended the weekly magazine Seda a day earlier.
Seda's most recent front page showed a U.S. aircraft carrier fleet and the caption "At the crossroads between war and peace."
A third of all oil traded by sea passes through the strait, which lies at the narrow mouth of the Persian Gulf.
Recent U.S. military deployments to the Persian Gulf, including an aircraft carrier, have raised tensions with Iran.