You will need to apply for a visa as you have travelled to Iran and you are a national of Iran.
Link to cbp.gov
Under the Act, travelers in the following categories are no longer eligible to travel or be admitted to the United States, without a waiver, under the VWP:
- Nationals of VWP countries who have traveled to or been present in Iraq, Syria, Iran, Sudan, Libya, Somalia, or Yemen at any time on or
after March 1, 2011 (with limited exceptions); and
- Nationals of VWP countries who are also nationals of Iraq, Syria, Iran, or Sudan.
These restrictions do not apply to VWP travelers whose presence in
Iraq, Syria, Iran, Sudan, Libya, Somalia, or Yemen was to perform
military service in the armed forces of a program country, or in order
to carry out official duties as a full-time employee of the government
of a program country. We recommend those individuals who have
traveled to one or more of the seven countries listed above for
military/official purposes bring with them appropriate documentation
when traveling through a U.S. port of entry. However, these
exceptions do not apply to the restriction for dual nationals of one
of the subject countries (“dual national restriction”).
The vast majority of VWP-eligible travelers will not be affected by
the new Act. New countries may be added to this list by designation of
the Secretary of Homeland Security.
