One system uses multiple cameras and the other relies on a microchip inside the ball. Assuming all goes well, one should be in place for the 2014 World Cup in Brazil.
Helping prompt the move was a notorious blown call in the 2010 World Cup, when a shot by England's Frank Lampard crossed the line but did not get awarded.
"I have changed my attitude toward technology because of Lampard's kick in South Africa," says FIFA chief Sepp Blatter.
"That was the moment for me to say, 'You are the president of FIFA and you cannot afford that in the next World Cup something similar will happen.'"
What's more, the English Premier League is on board and plans to use one of the systems, too. (For the take of one happy and knowledgeable "football" fan, see Chris Matyszczyk's post at CNET.)
Another new rule: FIFA will allow female Muslim players to wear headscarves, notes AP.