“Marc and I are full of love, awe and gratitude as we celebrate the birth of our daughter, Charlotte Clinton Mezvinsky,” Chelsea Clinton tweeted.
Chelsea Clinton, daughter of former President Bill Clinton and former Secretary of State Hillary Clinton, 34, married Marc Mezvinsky in 2010, and announced her pregnancy in April 2014.
The baby arrives as Hillary Clinton considers a presidential bid in 2016.
Hillary Clinton is seen as the leading Democratic contender for nomination to succeed President Barack Obama, and has said that she will make a decision on whether to run from around the beginning of 2015.
Bill Clinton served as the 42nd US president, from January 1993 to January 2001.
Chelsea Clinton has often been tipped to follow her parents into politics.
The former first daughter, educated at Stanford, Columbia and Oxford Universities, runs the Clinton Foundation with her parents. Her husband Marc Mezvinsky is an investment banker.
Chelsea Clinton stepped down from a $600,000 a year position as NBC special correspondent in August to concentrate on her pregnancy, motherhood and philanthropic work.
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