Macron, during a phone call with Trump, stressed France's determination to see "the strict application of the deal and the importance of all the signatories to respect it," the Elysee Palace said of the 2015 accord.
President Trump, who openly despises the deal, is soon to decide whether or not to renew sanctions against Tehran.
The White House said Trump had "underscored that Iran must stop its destabilising activity in the region."
He first announced this in October and under the US Iran Nuclear Agreement Act (INARA) of 2015 he is supposed to inform Congress every 90 days.
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One of the criticisms levelled at the nuclear deal is that it does nothing to address Iran's continuing ballistic missile programme and meddling in Middle East conflicts such as Yemen and Syria.
The French presidency stressed that the nuclear deal must be accompanied by reinforced dialogue with Tehran on both issues.
The White House statement said that the two leaders "committed to continue to apply pressure on North Korea until it returns to the path of denuclearisation".
It added that Trump and Macron were to meet, schedules permitting, at the World Economic Forum in Davos later this month.
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