Russia will host the tournament this year and there have been concerns over how fans will be treated due to historic problems of racial abuse within football in the country.
However, Infantino stresses that there are measures in place should anything occur during matches and has warned of "serious consequences" if there are such issues.
"I wouldn't say that we are concerned about discrimination, human rights and security but we take them very seriously," the 48-year-old told Sky Sports News. "We have taken appropriate measure in the preparation process.
"We will have clear procedures in place, including a three-step process for referees who can stop, suspend or even abandon a match in case of discrimination. We have a monitoring system and then immediate sanctions if something happens.
"We obviously wish that doesn't happen and everyone has been warned that if it happens there will be serious consequences."
The world football governing body fined Russia's football union £22,000 for racist chanting aimed at France players during a game in March.