Since 2008 Damir Džumhur competed in international junior tennis tournaments. He has won several titles and reached number 3 in the junior world rankings in 2010. His greatest successes as a junior were winning the title at the 2010 European Junior Championships, winning the bronze medal at the 2010 Summer Youth Olympic Games in Singapore and reaching the quarter-finals at the 2010 Wimbledon Championships .
First years as a professional and Davis Cup debut
He has been participating in ITF Future Tour tournaments since 2009 and has so far won six titles each in singles and doubles. In 2010 Džumhur played for Bosnia and Herzegovina in the Davis Cup for the first time and won the decisive final individual against Estonia. In 2014 he qualified for the main field of the Australian Open and thus for the first time for a Grand Slam tournament . He is the first player from Bosnia and Herzegovina to do so. He immediately reached the third round. He also qualified for the French Open , but failed in the opening round.
For the 2016 Olympic Games in Rio de Janeiro , Džumhur received a direct starting place from the Tripartie Commission . He was eliminated in the first round. In the 2017 season he became the first Bosnian to win a title on the World Tour in St. Petersburg .
Top 30 in the world
After the tournament in Rotterdam in February 2018, Džumhur was among the top 30 players in the world according to the world rankings for the first time . At the French Open , where he was ranked 26th, he failed, after victories against Denis Kudla and Radu Albot , in the third round after a hard fight in the fifth set to Alexander Zverev . Džumhur awarded a match point.