At the 2000 Summer Olympics in Sydney, Tsvetkovskiy competed only in two swimming events. He eclipsed a FINA B-cut of 1:55.29 (200 m freestyle) from the Asian Championships in Busan, South Korea. On the first day of the Games, he teamed up with Ravil Nachaev, Petr Vasiliev, and Oleg Pukhnatiy in the 4×100 m freestyle relay. Although he swam the second leg in heat one, his team had been disqualified due to an early relay takeoff by Pukhnatiy. The following day, in the 200 m freestyle, Tsvetkovskiy placed forty-fourth on the morning prelims.