Technology would only be applied to key incidents concerning goals, red cards, mistaken identities and penalties.
The International Football Association Board (IFAB) says it has had interest in hosting live trials from 12 national associations and one confederation.
The news was announced following a meeting of the IFAB in Cardiff.
New Fifa president Gianni Infantino, who believes greater use of technology within the game is inevitable, called it a “historic” day for the sport and said the decision proved the game’s leaders were “listening to football”.
The IFAB, which is made up of the four British football associations and Fifa, says a final decision on approving the technology for use throughout the game will only be made following a thorough period of testing and an agreement on the protocols for its use.
Infantino said: “We cannot close our eyes to the future but it doesn’t mean to say it will work.