Respect for Marriage Act This bill provides statutory authority for same-sex and interracial marriages. Specifically, the bill repeals and replaces provisions that define, for purposes of federal law, marriage as between a man and a woman and spouse as a person of the opposite sex with provisions that recognize any marriage that is valid under state law. (The Supreme Court held that the current provisions were unconstitutional in United States v. Windsor in 2013.) The bill also repeals and replaces provisions that do not require states to recognize same-sex marriages from other states with provisions that prohibit the denial of full faith and credit or any right or claim relating to out-of-state marriages on the basis of sex, race, ethnicity, or national origin. (The Supreme Court held that state laws barring same-sex marriages were unconstitutional in Obergefell v. Hodges in 2015; the Court held that state laws barring interracial marriages were unconstitutional in Loving v. Virginia in 1967.) The bill allows the Department of Justice to bring a civil action and establishes a private right of action for violations.