After starting out at Senta, Krivokapić played for Partizan in the 1972–73 season, as the club suffered relegation from the top flight. He would later move to Slovan, helping them win the championship title in 1980 and reach the European Cup final in 1981. Later on, Krivokapić left Yugoslavia and went to Germany in 1982, spending one season with SG Dietzenbach.[1] He subsequently moved to Spain and played for Tecnisa Alicante from 1983 to 1985. Krivokapić also played for the club in the 1986–87 season.
His nephews were handball players Marko Krivokapić and Milorad Krivokapić.[2][3] He died from a heart attack in Senta, on 12 November 2024, at the age of 71.[4]
