The Frenchman, speaking after a meeting of UEFA's Executive Committee, also praised Poland and Ukraine's preparations to host Euro 2012, describing progress as "sensational".
World governing body FIFA is pressing ahead with plans to use electronic equipment in incidents where there is a doubt as to whether the ball has crossed the line.
"It's expensive to have extra referees, perhaps technology is less expensive," Platini told reporters.
"How often do you have an incident where there is a real doubt as to whether the ball crossed the line? Perhaps once every 40 years."
"I'm afraid that if you start with technology which is used once every 40 years, it could lead to other uses for the technology and I'm afraid that maybe this could lead to video refereeing," he said.
"I don't think this technology is really good for football."
"If you had seen these countries a few years ago and look at what is happening right now, I think we can say that sensational things have been done," said Platini.
"We have had problems, of course, but the governments have straightened things out, and I am not really worried.
"They have invested billions and billions in these countries, they will have a legacy for decades to come."
