Rustam Orujov is the gold medalist of the Eurasian Youth Games held in Belarus, in 2013. He also became the Champion of Europe in Kazan in 2016. He won the bronze medal as a part of the national team at the European Championship. He is the silver medalist of the Rio 2016 Summer Olympic Games and the Bronze medalist of the European Championships 2017. Rustam is the Silver medalist of Baku 2017 – 4th Islamic Solidarity Games. He won the Gold medal as a part of the national team at Baku 2017.

Rustam Orujov is the gold medalist of the Havana GP 2016, Baku GS 2015, Samsun GP 2015, Tbilisi GP 2015, Baku GS 2013, Baku GP 2012.  Rustam is the silver medalist of the Abu Dhabi GS 2016, Dusseldorf GP 2016, Qingdao GP 2015, Paris GS 2015, Samsun GP 2014. Rustam is the bronze medalist of the Baku GS 2017, Guadalajara Masters 2016, Baku GS 2016, Jeju GP 2015, Rabat Masters 2015, Jeju GP 2014, Abu Dhabi GP 2014, Baku GS 2014.