Lawsky told CNBC's "Power Lunch" that it's "surprising" how many banks violate sanctions, adding that his agency is investigating a "line-up of other banks." He did not specify the number of inquiries, however, or which banks are being looked at. Each case is different, too, with executives and managers found responsible in some instances and low-level personnel to blame in others.
Last week, the Bank of Tokyo-Mitsubishi UFJ agreed to pay New York $250 million for deleting information from $100 billion in wire transfers with Iran and other nations on the U.S. sanctions list.
The settlement is the latest example of Lawsky's flexing the agency's muscles. But some market observers have argued that the $250 million fine amounts to a "slap on the wrist."
Last year, Standard Chartered agreed to pay the state $340 million over transactions linked to Iran and other countries. But Lawsky defended the settlement with Bank of Tokyo-Mitsubishi, saying it struck the right balance between encouraging business in the state—just "not funny business."
"As regulators, most importantly, we need to create real deterrents, and we need to send a message that doing business that facilitates terrorism, for example, is not going to be tolerated," Lawsky said.
—Reuters contributed to this report
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—By CNBC's Drew Sandholm. Follow him on Twitter