Bury is mainly active in doubles and mainly plays on the ATP Challenger Tour and the ITF Future Tour . So far he has celebrated one single and 15 double victories on the Future Tour. He has won seven tournaments on the Challenger Tour so far, six of them in 2014 with his doubles partner Sjarhej Betau and has already been in a final four times. So far he has not played on the World Tour or in a Grand Slam tournament .
On February 6, 2012, he broke through the top 200 in the world rankings in doubles for the first time and his highest ranking was reached in August 2015 with number 73.
On 26 June 2012, gave ITF announced that Bury at the Olympic Games in London will compete in the men's doubles. His partner was Max Mirny , but they failed in the first round to the Indians Mahesh Bhupathi and Rohan Bopanna in three sets.
He has played for the Belarusian Davis Cup team since 2005 . For this he competed in seven matches, with a balance of 2: 1 in singles and 4: 2 in doubles.