Tsurenko played the first events of her career on ITF Circuit in 2007 and made her WTA main draw debut at 2009 Tashkent. Previously, she only played tennis occasionally and for fun, before moving to Kiev at 17 and began playing more seriously. Tsurenko studied at Physical Education & Sports Institute for one and a half years, and made Top 100 debut on May 28, 2012.
In 2013 she finished into the Top 100 for the first time in her career, but she had 2015 to live the breakthrough season. She won her first WTA singles title in Istanbul, defeating Urszula Radwańska in final, and completed the year at a career‐high ranking of No.33, having started at No.88, after her third Premier-level semifinal run in Moscow, after 2013 Brisbane and 2015 New Haven.
2016 season highlighted by winning second WTA singles title at Guangzhou (d. Jankovic in F). Other notable results in 2016 included quarter-final runs at Nürnberg and Tashkent, and a third round effort at Indian Wells where she registered the first main draw wins of season).
She opened 2017 season at Hobart, where she advanced to the semifinals but withdrew prior to match against Niculescu with viral illness. During the Australian swing, Tsurenko passed $2 million in career prize money after Australian swing. She also won the third title, in as many finals, in Acapulco (d. Mladenovic in F).