The Revolutionary Guards said in a statement on Monday that the only way to restore regular shipping traffic through the strait was to end U.S. military interventions in the waterway, and warned that "continued interference could lead to greater incidents in the global oil and gas sector."
Iran is seeking to establish a joint mechanism with Oman to manage traffic through the strait, Foreign Ministry spokesperson Esmaeil Baghaei said on Monday, adding that U.S. pressure on Oman had hindered those discussions.
The dispute over the Strait of Hormuz has become a central front in the conflict.
Iran has sought to establish a permanent fee and permit system for vessels using the waterway, which before the war carried about one-fifth of global oil and liquefied natural gas shipments.
After announcing the waterway's closure on Saturday following what it described as an unauthorised transit, Tehran said on Sunday that passage remained suspended and that permits would be issued once "stability and calm" were restored.
The U.S., which revoked a licence waiving sanctions on Iranian crude sales last week after earlier attacks on shipping, said its forces were positioned to safeguard freedom of navigation despite what it called "aggression, harassment, threats, and arbitrary declarations" from Iran.
"Iran does not control the strait. Traffic is flowing," it said.
U.S. officials said around 20 vessels had been escorted through the strait in the previous 24 hours, though ship-tracking sites showed little traffic moving.
The U.S. Navy-led Joint Maritime Information Center reiterated guidance that, despite a severe security threat, an "expanded" southern route near Oman remained available for two-way traffic.
On Saturday, U.S. Central Command said U.S. forces had hit 140 Iranian military targets, and that more than 300 had been struck over three nights this week "to degrade Iran's ability to attack civilian mariners and commercial vessels freely transiting the strait."
Iran's Revolutionary Guards said at the weekend they had destroyed a command-and-control centre and drone hangars in U.S. ally Jordan, targeted a U.S. radar site and later rocket launcher systems in Kuwait, attacked U.S. aircraft carrier support and refuelling platforms in Oman and destroyed a jet maintenance centre and command facility in Qatar.