“They will not be allowed to do business with the United States of America in any way, shape, or form,” he wrote on Truth Social on Thursday.
Trump’s comments follow the postponement of the latest U.S. talks with Iran over its nuclear program, which had been due to take place in Rome on Saturday.
A senior Iranian official told Reuters a new date will be set “depending on the U.S. approach.”
Trump’s administration has targeted Tehran with a series of sanctions on entities including a China-based crude oil storage terminal and an independent refiner it has claimed of being involved in trade in oil and petrochemicals.
In February Trump restored a “maximum pressure campaign” on Iran which includes efforts to drive its oil exports to zero.
Tehran has denounced the sanctions as clear evidence of the contradictory approach of American decision-makers and their lack of goodwill and seriousness in advancing the path of diplomacy.
Secondary sanctions are those where one country seeks to punish a second country for trading with a third by barring access to its own market, a particularly powerful tool for the United States because of the size of its economy.