Victims of Agent Orange Relief Act of 2013

Victims of Agent Orange Relief Act of 2013 - Defines a "covered individual" as a Vietnam resident who is affected by health issues related to Agent Orange exposure which took place between January 1, 1961, and May 7, 1975, or who lives or had lived in or near geographic areas in Vietnam that continue to contain high levels of Agent Orange, or who is affected by such health issues as the child or descendant of such resident.

Directs the Secretary of State to provide assistance: (1) to address the health care needs of covered individuals, (2) to institutions in Vietnam that provide health care to such individuals, (3) to repair and rebuild substandard homes in Vietnam for covered individuals and their families, and (4) to remediate geographic areas of Vietnam that contain high levels of Agent Orange.

Directs the Secretary and the Secretary of Veterans Affairs (VA) to provide assistance to support research relating to health issues of individuals affected by Agent Orange.

Requires the Secretary of Health and Human Services (HHS) to: (1) make grants to appropriate public health organizations and Vietnamese-American organizations to conduct a broad health assessment of Vietnamese-Americans who may have been exposed to Agent Orange and their children or descendants; and (2) establish centers in U.S. locations where large populations of Vietnamese-Americans reside to provide assessment, counseling, and treatment for conditions related to Agent Orange exposure.

Amends veterans benefits provisions to provide benefits to the children of male (currently only female) Vietnam veterans who are affected by certain birth defects. Requires the VA Secretary to require any health care provider with whom the Secretary enters into a contract for the provision of health care to such children to provide the VA access to the medical records of such children for research into the intergenerational effects of Agent Orange exposure.