The new sanctions and other measures will "continue a steady drumbeat of pressure" to contain and degrade Iran's military capacity and effectiveness, National Security Advisor Jake Sullivan said.
The documents also showed that the EU wants Arab states to have a strong presence in any sanctions regime.
Now that sanctions have expired, other regional and global powers are looking to Iran.
The sanctions impose a British travel ban on those named, block any of their British assets and prevent UK entities from doing business with them.
The 72-year-old had set up an elaborate network of businesses across the US, Iran and the UAE to ship controlled petroleum substances.
Western states have been hesitant to discuss sanctions, while Washington and Tehran held indirect talks for an informal agreement that would have Iran freeze its nuclear program.
The Foreign Office did note that Iran’s repeated development and testing of ballistic missiles violates the UN Security Council resolution banning them from doing so.
Keeping the EU sanctions would reflect Western efforts to prevent Iran from developing nuclear weapons and the means to deliver them despite the collapse of the 2015 deal.
Kyiv and its allies say Iran has been supplying Russia with arms, including hundreds of drones, since Moscow invaded Ukraine last year.