A statement from the International Gymnastics Federation (IGF) said that the Ukrainian Gymnastics Federation has taken the decision to cancel the event because of "organisational difficulties presented by the internal political situation in Ukraine".
More than 200 gymnasts from 14 national federations were due to attend the 'Stars Above The Bourg River' tournament in Vinnytsia, which is 250km south of the capital, where violent clashes between police and protesters have erupted this week.
The Foreign and Commonwealth Office (FCO) currently advises against all but essential travel to the city of Kiev.
Protesters began rallying against the Ukraine government in November, with crowds occupying Kiev’s Independence Square since early January.
The city of Lviv in the Ukraine is bidding for the 2022 Winter Olympics. Sergey Bubka, President of the Ukrainian Olympic Committee, last month said that the protests in his country would not affect the bid.