According to the Mirror, his 11-year-old daughter Nancy will go to a Church of England academy in Westminster from September.
Founded in 1698, Grey Coat Hospital School was given an outstanding rating in the latest Ofsted inspection.
Last year, it was revealed Government Chief Whip Michael Gove would also be sending his daughter to the same Church of England school, making Mr Gove the first Conservative Education Secretary at the time to send his child to a state school.
David Cameron's decision to send his daughter to a state school comes only days before he is expected to make a speech announcing a dramatic expansion of the controversial free schools programme.
According to the Guardian, on Monday Mr Cameron will propose a further 153 free schools be opened in the next parliament if his party wins May's general election.
Free schools are non-profit-making, independent, state-funded schools run entirely outside the control of local authorities. More than 240 free schools were operating in 2014-15.
