Protecting Adoption and Promoting Responsible Fatherhood Act of 2013

Promoting Adoption and Promoting Responsible Fatherhood Act of 2013 - Amends part B (Child and Family Services) of title IV of the Social Security Act to direct the Secretary of Health and Human Services (HHS) to establish and maintain an automated National Responsible Father Registry.

Requires the Registry to: (1) contain specified kinds of information sufficient to identify a possible father, and (2) provide a mechanism for men to register such identifying information directly with the Registry.

Limits access to Registry information to eligible parties, including: (1) public and licensed private adoption or child placement agencies, (2) licensed attorneys representing a party in a planned or pending adoption or in the termination of rights of one or more possible fathers, (3) state agencies or entities responsible for the placement of children, and (4) state courts.

Directs the Secretary to establish a nationwide campaign designed to inform possible fathers, unwed mothers, possible adoptive parents, and eligible parties of the National Registry, the advantages of possible fathers registering either in the National Registry or State Responsible Father Registries, or both, the rights and responsibilities of such parties with regard to a proceeding, and the role of such Registries in a proceeding.

Directs the Secretary to use all reasonable efforts to encourage states to enter into agreements to establish automated State Responsible Father Registries and centers that make registration forms easily accessible to possible fathers.

Authorizes the Secretary to make a grant to a state to establish a State Registry or modify an existing one to meet the requirements of this Act.