FIFA states that The Laws of the Game are the preserve of the International Football Association Board.
The first meeting of the International Football Association Board, attended by representatives of the Football Associations of England, Ireland, Scotland and Wales, took place on 2nd June 1886 in London.
When FIFA was founded they embraced the International Football Association Board Laws of the Game. The International Football Association Board in turn recognized the validity of FIFA, but FIFA did not have representation at the IFAB until the 1914 annual meeting, which was held in Paris. Minutes of the annual meetings of this body can be viewed here.