Which branch has the power to establish a uniform rule of naturalization?

Naturalization is regulated by the Executive Branch, through the Department of Homeland Security; the DHS naturalization agency is the U.S. Citizenship and Immigration Services (USCIS), not to be confused with the Bureau of Immigration and Customs Enforcement (ICE) which is a paramilitary police agency. USCIS used to be the Immigration and Naturalization Service agency which was part of the Department of Justice, prior to the terrorism of September 11, 2001.