"I'm not concerned about trouble and violence in 2018. I have full confidence in Russian authorities, they are taking this matter very, very seriously," he said in Doha on Friday (AEDT).
More than 100 England fans were injured following clashes with Russian supporters in Marseille before their group game at Euro 2016, causing UEFA to threaten the team with expulsion from the tournament.
There have been fears of more trouble at next year's tournament. But Infantino said the organisers were already putting plans in place to curb any hooliganism.