Iran Nuclear Compliance Act of 2013 - Prohibits the President, in connection with the ongoing nuclear negotiations with Iran and during the 240-day period beginning on the date of the enactment of this Act, from exercising a waiver of, suspending, or otherwise reducing any sanctions imposed on Iran unless the President certifies to Congress that: (1) it is in the U.S. national security interests to waive, suspend, or otherwise reduce such sanctions; and (2) Iran is in full compliance with the terms of any interim agreement between the United States, the United Kingdom, France, Russia, China, Germany, and Iran relating to Iran's nuclear program.

Provides for reinstatement of sanctions upon noncompliance.