The partial withdrawal would mean that Iran would stop exporting enriched uranium stocks as stipulated by the 2015 agreement.
The direction comes hours after Iran fired over a dozen ballistic missiles targeting at least two American bases in response to the killing of its General Qasem Soleimani in a drone strike.
The Indian men's and women's chess teams won silver medals at the Asian Games in Hangzhou on Saturday.
Trump called on Iran to "work together" to eliminate the Islamic State, saying the killing of ISIS chief Abu Bakr al-Baghdadi was "good" for Iran.
Trump said the sanction will deny the Iranian Supreme leader access to financial instruments.
About 2,000 Indians are living in Iran, a country that has witnessed increasing numbers of coronavirus cases in the last few days. According to latest reports, 237 people have died of the coronavirus infection in Iran while the number of positive cases stands at around 7,000.
Sunil Chhetri stirred up emotions in his final international outing but the Indian football team just could not rise to the occasion as it settled for a goalless draw against Kuwait.