New American Success Act of 2014 - Establishes in the Executive Office of the President a National Office of New Americans which shall:
Establishes within the Office a Task Force on New Americans.
Requires U.S. Citizenship and Immigration Services, in consultation with the Office, to award initial entry, adjustment, and citizenship assistance grants to local government units, private organizations, community-based organizations, or not-for-profit organizations to provide legal assistance to an eligible non-citizen who is seeking: (1) to become a permanent resident or naturalized citizen, or (2) relief from removal.
Makes such grants available for 10 fiscal years beginning with FY2016.
Establishes in the Treasury the Integration Success Fund.
Amends the Immigration and Nationality Act to revise the waiver of the English language naturalization requirement for senior individuals.