In a letter to his defence minister, Rouhani said reports that the US Treasury Department planned to blacklist companies and individuals with ties to Iran's ballistic missile programme constituted "hostile and illegal interventions" that justified a response.
The comments from Rouhani, who said the military should intensify its development of missiles, seemed to cause backtracking in Washington with reports that the White House had put the intended sanctions on hold indefinitely.
In the five months since the nuclear deal was struck US officials say Iran has conducted two missile tests, one of which state media reported at the time, on October 11. Iran also recently aired television footage of an underground missile base.
But the threat of new sanctions -- the nuclear deal is due to lift past measures that froze Iran out of the global financial system and crippled its oil exports -- brought already worsening relations to a head.
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It also came after US officials said an Iranian vessel had test-fired several rockets near three Western warships, including the USS Harry S. Truman aircraft carrier.
Spokesman General Ramezan Sharif accused the US of fabricating the incident as part of a "psychological operation".
The Wall Street Journal first reported Wednesday that the US was preparing fresh sanctions against companies and individuals in Iran, Hong Kong and the United Arab Emirates over alleged links to Tehran's ballistic missile programme.
But yesterday the newspaper said the measures had been delayed -- although they remain on the table -- over fears the nuclear deal could be derailed.
Rouhani, whose government negotiated the agreement with the United States and five other world powers, warned of reprisals.