The Hawkeye system uses 14 cameras and will send a signal within the space of a second to the referee's watch and ear-piece indicating that the ball has crossed the line. The first use of the system will take place at the Community Shield match between Manchester United and Wigan at Wembley on Sunday.
The system was unveiled at Arsenal's Emirates Stadium on Thursday morning and FA general secretary Alex Horne said: "This is one of the biggest changes that has happened in the 150 years since we conceived the laws of the game and it is fitting that it is happening in out 150th anniversary year.
"The object of the game is to put the ball into the goal and the system will help referees to make the correct decision."
The Hawkeye system will also be used in all 20 Premier League grounds.
Premier League chief executive Richard Scudamore added: "It's a very exciting development in world football.
"It is a goal decision system - it is no longer just goal-line technology."