Mazur was born in Los Angeles, California, the daughter of Ruby Mazur, an illustrator known for creating the "tongue" logo for the Rolling Stones,[REF] and her mother Valerie Chasin, who was a model.
In the summer of 2005, Mazur gave birth to son Marlon, her first child, with husband, British film director Alex de Rakoff, whom she married in April 2005.