A bill making supplemental appropriations for the fiscal year ending September 30, 2014, and for other purposes.

Secure the Southwest Border Supplemental Appropriations Act, 2014 - Provides supplemental FY2014 appropriations for the Department of Homeland Security (DHS), including U.S. Customs and Border Protection (CBP) and U.S. Immigration and Customs Enforcement (ICE); the Department of Defense (DOD); the Department of Justice (DOJ); and the Department of Health and Human Services (HHS) for expenses related to the rise in unaccompanied alien children and alien adults accompanied by an alien minor at the southwest border.

Permits funds previously appropriated for the Department of State, foreign operations, and related programs for assistance to the countries in Central America to be used for repatriation and reintegration activities.

Specifies other authorized, restricted, and prohibited uses of appropriated funds.

Includes rescissions of funds previously appropriated to various federal agencies.

Secure the Southwest Border Act of 2014 - Amends the William Wilberforce Trafficking Victims Protection Authorization Act of 2008 and the Immigration and Nationality Act to change the procedures for screening and processing unaccompanied alien children who arrive at the border from certain countries.

Amends the Immigration and Nationality Act to include the commission of certain drug-related offenses as grounds for per se ineligibility for asylum.

Permits appropriations provided to DOD under this Act to be used for the National Guard to provide support for operations on the southern border.

Prohibits the Secretary of the Interior and the Secretary of Agriculture (USDA) from impeding, prohibiting, or restricting certain CBP activities on federal lands.

Expresses the sense of Congress that the Secretary of Defense should not allow the placement of unauthorized aliens at military installations unless certain conditions are met.