The International Olympic Committee told sports bodies to stop using the flags and national anthem of the countries they plan to hold events in.
After the governing bodies of skiing and Formula One pulled races from Russia, the Olympic body requested that the final be moved to suburban Paris.
The world championship for volleyball and shooting will be held in Russia. The World Cup playoff match against Poland is scheduled for March 24 in Moscow.
Four days after the closing ceremony of the Winter Games in Beijing, Russia invaded Ukraine. Some of the Russian troops entered the country from the ally of Russia.
The Olympic Truce has been violated by Russia three times in the past 14 years. During the 2008 Summer Olympics in Beijing, Georgia was invaded by Russia, and shortly after the Winter Olympics in Sochi, the peninsula of Crimea was annexed by Russia.
The IOC said governing bodies should take into account the safety and security of the athletes when making decisions.
The IOC said after a meeting of its executive board that the flags and national anthem of Russia and Belarus should not be used at international sports events.
The board of the IOC expresses its deep concerns about the safety of the members of the Olympic community in Ukraine and stands in full solidarity with them.
The IOC gave full support to the International Paralympic Committee for the Winter Paralympics.