Sepp Blatter: Technology a 'necessity'
The head of world soccer's governing body has in the past been resistant to the idea of introducing any such computerized systems to the game.
But after an effort from Ukraine's Marko Devic clearly crossed the goal line against England on Tuesday night but was not spotted by officials, Blatter accepted there was no debate.
Even an additional referee on the byline failed to spot Devic's shot should have been ruled as a goal, which left Ukraine manager Oleg Blokhin irate.
"After last night's match #GLT [goal-line technology] is no longer an alternative but a necessity," Blatter wrote on his Twitter account.
UEFA's five-official system, which is preferred by president Michel Platini as an alternative to goal-line technology, is currently on trial at Euro 2012.
Two linesmen and two additional assistants, who stay close to each goal to help decide if the ball crosses the line and to spot possible fouls, are in theory assisting referees.
But the failure of the assistant to spot Devic's "goal" has added further weight to the argument for essential technology.
FIFA will decide on July 5 whether to approve the five-official system and two goal-line technology systems currently being tested in England and Denmark.
The Hawk-Eye system, which is used in tennis, was trialled at England's friendly against Belgium at Wembley before Euro 2012.