The order said the transactions provided the bank with millions of dollars in fees at a time when such trade was restricted.
London-based Standard Chartered Bank rejects the claim and says it had already been cooperating in a review with American regulators.
The bank said it began its review of its transactions in 2010 and was surprised by the order and accusations made Monday by Lawsky. The bank says records show it sought to comply and overwhelmingly did comply with all U.S. regulations enacted to prevent funding for Iran's nuclear program and to terrorist groups.
A government official said Monday that the FBI's New York office has been investigating the matter to determine if criminal charges should be brought. The official wasn't authorized to discuss the probe and spoke to The Associated Press on condition of anonymity.
An FBI spokesman declined to comment.
The state agency said the bank's actions "left the U.S.