After starting out at Krušik Valjevo, Kristić joined the youth system of Red Star Belgrade.
He spent some time on loan to Bor and Mačva Šabac, before returning to Red Star in the second half of the 1991–92 season.
He made his league debut for the club in a 4–0 home victory over Bologna on 25 April 1999, scoring the final goal of the match deep into injury time, less than 30 seconds after coming off the bench.
At international level, Kristić was capped once for FR Yugoslavia, playing the full 90 minutes in a 3–1 away friendly loss to Argentina on 25 February 1998.
[2] In December 2010, Kristić left his position as manager of Red Star by mutual consent after a meeting with the board members.