But he says it was agreed "after consultation with the IOC" that wearing armbands would not be in line with the Olympic Charter.
"Both parties agreed that another way of allowing Ukraine athletes to mark their respects should be found," he said, adding that athletes on the team had observed a minute of silence in the Olympic Village and issued statements or gave interviews about the crisis.
Bubka, a pole vault great, issued a statement Thursday following "erroneous reports" that he had prevented athletes from wearing armbands. The International Olympic Committee denied that it had received a request from the Ukrainians to wear armbands during the games.
Ukrainian skier Bogdana Matsotska withdrew from the Sochi Olympics in response to the deaths of anti-government protesters in Ukraine.
Bubka has urged Ukrainian athletes to remain in Sochi as a sign of unity. But he has also said he respects the rights of athletes to make their own decision.