Playing with Serbia and Montenegro/FR Yugoslavia, Šćepanović won the gold medal at the 1998 FIBA World Championship, the bronze medal at the 1999 EuroBasket and gold again at the 2001 EuroBasket.

After Montenegro gained independence, he represented their senior national team at the 2011 EuroBasket.

On 24 June 2016, Šćepanović was named the head coach of Budućnost.

[1] On 13 November 2016, he resigned from the position of Budućnost head coach.

[2] On 9 July 2020, Šćepanović was named the head coach for Partizan of the ABA League and the Basketball League of Serbia after serving two years as an assistant coach in their staff.