The result of the long-awaited referendum defied polls, which has predicted that Britons would opt to remain in the EU.
Bank of England governor Mark Carney will also deliver a speech today, following Cameron's comments.
The PM insisted during the campaign that he would not resign, even in the event of a Leave victory. However, his position in Downing Street has been cast into doubt by the outcome. Conservative MP Jacob Rees Mogg said during the early hours of the morning that he could not rule out a fresh general election.