Career
His nickname is Butterfly which is given by Trabzonspor fans due to his incredible saves. Kivrak signed for Trabzonspor on 15 January 2008. On 6 December 2013, Kivrak renewed his contract keeping him at the club until 2018.
His buyout clause was set at 10 million euros.
2 October 2014, during Europa League match against Legia Warsaw he tore cruciate ligaments in his left knee and was subbed official 15 days later he underwent knee surgery and was ruled out for the rest of 2014-2015 season.
Onur made his debut in the 2–0 friendly victory over Northern Ireland on 26 May 2010, having worked his way through the youth teams at U-16, U-17, U-18, U-19, and U-21 level Club As of 24 December 2015 Trabzonspor.