The announcement is another sign of progress in Tehran's campaign to return to the global economy after last year's nuclear accord.
At a meeting in South Korea, the United States and the 36 other members of the Financial Action Task Force welcomed Iran's commitment to address shortcomings in how it tackles money laundering and fights terrorism financing. The Iranians also are seeking technical assistance in their efforts.
To protect the international financial system, FATF members are supposed to apply countermeasures against any country on the organization's blacklist.
If Iran fails to make progress over the next 12 months, "FATF's call for counter-measures will be re-imposed," it said in a statement. "If Iran meets its commitments under the action plan in that time period, the FATF will consider next steps."
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The FATF urged Iran to fully address its deficiencies, "in particular those related to terrorist financing."
Today's move will alarm some opponents of the Iran nuclear deal in the United States.
The seven-nation agreement promised Iran significant relief from financial, trade and oil sanctions in exchange for steps to curtail a program that many Western countries feared was close to nuclear weapons capability.
In a letter to Treasury Secretary Jack Lew last week, Rep. Ed Royce, the House Foreign Affairs Committee chairman, urged the Obama administration to fight to keep Iran remained on the blacklist. He said Iran's support for terrorism continues.
That State Department upheld that conclusion, too, in its latest terrorism report. Iran also is backing Syrian President Bashar Assad's government in its civil war with US-backed and Arab-backed rebel groups.