FILE - In this Jan. 31, 2013 file photo, then-Secretary of State Hillary Rodham Clinton speaks in Washington. The former Secretary of State announced her support for gay marriage. In an online video released Monday, Clinton says gays and lesbians deserve "the rights of citizenship." She says "that includes marriage." WASHINGTON (AP) - Former Secretary of State Hillary Rodham Clinton announced her support for gay marriage Monday, putting her in line with other potential Democratic presidential candidates on a social issue that is rapidly gaining public approval. Clinton made the announcement in an online video released Monday morning by the gay rights advocacy group Human Rights Campaign. She says in the six-minute video that gays and lesbians are "full and equal citizens and deserve the rights of citizenship." "That includes marriage," she says, adding that she backs gay marriage both "personally and as a matter of policy and law." Clinton's announcement is certain to further fuel the already rampant speculation that she is considering another run for president in 2016. Other possible Democratic contenders - including Vice President Joe Biden, New York Gov. Andrew Cuomo and Maryland Gov. Martin O'Malley - all back the right of same-sex couples to marry. Polls show that public opinion on gay marriage has shifted perhaps more rapidly than on any other major issue in recent times. The shift among the major political parties has been equally swift. During the 2008 presidential campaign, Clinton and rival Barack Obama both backed civil unions for gay couples, but not same-sex marriage. In the lead-up to the 2012 election, Obama announced his support for gay marriage and Democrats backed the right of same-sex couples to wed in their party's official platform. The White House welcomed Clinton's announcement, saying it meant Clinton's views on the issue were now in line with Obama's. "The president believes that anytime a public official of stature steps forward to embrace a commitment that he shares to equality, he thinks it's a good thing," said White House spokesman Jay Carney. The GOP officially opposes gay marriage, though several high profile Republicans have publicly backed the right of same-sex couples to wed. On Friday, Ohio Sen. Rob Portman became the first Republican senator to announce his support for gay marriage, saying he had a change of heart after learning that his son is gay. More than 100 Republicans also submitted a "friend of the court" brief to the Supreme Court asking the justices to overturn California's ban on same-sex marriage. The court will hear oral arguments on California's Proposition 8 measure next week. Justices will also hear arguments in a related case concerning the constitutionality of a provision in the Defense of Marriage Act, which defines marriage as between one man and one woman. President Bill Clinton signed the act into law in 1996, but said earlier this month that he now believes it is unconstitutional and should be overturned. Despite holding back in supporting same-sex marriage, Hillary Clinton was a strong support of gay rights, both in the U.S. and abroad, during her tenure at the State Department. Under her watch, the U.S. government made it official policy to promote gay rights around the world. Follow Julie Pace at http://twitter.com/jpaceDC and Ken Thomas at http://twitter.com/AP_Ken_Thomas