June 20, 2026 - Iran and US make opposing claims on Strait of Hormuz ahead of talks in Switzerland | CNN

Get the latest on the war with Iran here. • Strait of Hormuz: Iran said it is closing the vital waterway in response to renewed Israeli strikes in Lebanon. The US military denied Iran’s claim to control the strait, and President Donald Trump threatened to impose US tolls in the shipping lane if a deal with Tehran is not ultimately reached. • Talks set for Sunday: Vice President JD Vance is on his way to Switzerland, where he said the US will set up the structure of negotiations with Iran and potentially start to make progress on nuclear issues. A delegation from Tehran is already on the ground and has warned that talks won’t advance without first addressing Lebanon. • On the ground: Despite a stated truce in Lebanon, Israel continues to exchange fire with Hezbollah, the Iran-backed militant group. Dozens of people have been killed by Israeli strikes in Lebanon over the past two days, marking some of the worst bloodshed of the current conflict. An emergency session on Lebanon has been added to the talks in Switzerland and will be the first topic addressed, a diplomat briefed on the session told CNN on Sunday. Before departing for Switzerland, US Vice President JD Vance sai