Miloš Milošević was born in Split to an ethnic Serb family. He enrolled in the swimming school of the swimming club "Mornar" in 1980, which lasted four years. At the age of 14, he started competing in youth swimming competitions of SFR Yugoslavia. He won a total of eight gold medals as a junior.
Milošević won his first major award at the 1992 European Championship when he took the bronze in the 50 meter butterfly event. At the 1993 World Championship he proceeded to take the gold in the 100 meters butterfly race. The same year he won the bronze at the 1993 European Championship. In the 1994 World Championships he was fifth in that event.
At the European Short Course Swimming Championships 2002 he won the silver medal in 50 meter butterfly. He retired from professional swimming in 2004. His personal best in the 50 meter butterfly event was 23.30 (1998), and in the 100 meter butterfly event 52.24 (1998).
He currently is full-time head coach at the swim club in Regensburg.[2]