Adoption Promotion Act of 2013 - Amends the Public Health Service Act to direct the Secretary of Health and Human Services (HHS) to ensure that any pregnancy options counseling funded through training grants for personnel to carry out family planning service programs under such Act: (1) includes adoption counseling, and (2) is provided by individuals who are licensed social workers or counselors in the states in which they practice and who have knowledge and experience in adoption practice. Requires that any training provided to an individual with respect to family planning include training on the adoption process.

Requires research in the biomedical, contraceptive development, behavioral, and program implementation fields related to family planning and population funded under such Act to include: (1) the collection of data on the number of pregnancy tests administered to individuals served by family planning service programs and the results of those tests; and (2) the evaluation of the quality, consistency, and outcomes of pregnancy options counseling.