Luka Milivojević (born 7 April 1991) is a Serbian professional footballer who plays as a midfielder and captains Premier League club Crystal Palace and the Serbian national team.
He began his career with Radnički Kragujevac and then played for Rad before signing for Red Star Belgrade in January 2012. He later won the Belgian Pro League with Anderlecht and Superleague Greece twice with Olympiacos before a €16 million transfer to Crystal Palace in January 2017. Milivojević made his international debut for Serbia in 2012 and was part of their squad at the 2018 FIFA World Cup.
He was a member of the Serbia national under-21 football team. He had been called up for the Serbia national football team squad on 29 September 2011, to face Italy and Slovenia in the UEFA Euro 2012 qualifying phase. He made his debut for Serbia on 14 November 2012 in a friendly match with Chile. On 6 October 2017 he scored his first goal for Serbia in a World Cup Qualifying match with Austria.
In June 2018, he was included in the final 23-man squad for the 2018 FIFA World Cup. There he appeared in two matches, against Costa Rica and Switzerland.