2004 – U16 World champion (Serbian NT),
2007 – U19 World champion (Serbian NT),
2009 – EuroBasket silver medalist (Serbian NT),
2012 – EuroCup runner-up (Valencia),
2014 – World championship silver medalist (Serbian NT),
2016 – Olympic Games silver medalist (Serbian NT),
2017 – VTB United League bronze medalist, Russian championship bronze medalist, VTB United League best player in March, VTB All-Star Game participant (Zenit)
From 2009 to 2016 Marković played for Serbian national team, where he won EuroBasket silver (2009), World championship silver (2014) and Olympic Games silver (2016). Also he played for Serbian youth teams and became World champ in 2004 (U16) and U19 (2007).