What is the name of the person that controls a football match?
A referee controls a football match.
The referee is the person responsible for enforcing the Laws of the game during the course of the match. He is the final decision- making authority on all facts connected with play.
Referees are licensed and trained by the same national organisation that are members of FIFA. At higher levels of play the referee is also assisted by a fourth official. Common duties for a fourth official may include managing areas and substitutions, maintaining a backup record of the score and displaying information on substitution and extra time to spectators.