Duško Gojković (Serbian Cyrillic: Душко Гојковић; born 14 October 1931) is a Serbian jazz trumpeter, composer, and arranger.

Gojković was born in Jajce (ex-Yugoslavia, now in Bosnia-Herzegovina). He studied at the Belgrade Music Academy from 1948 to 1953. He played trumpet in dixieland bands and joined the big band of Radio Belgrade when he was eighteen. He moved to West Germany and recorded his first album as a member of the Frankfurt All Stars. He spent the next four years as a member of Kurt Edelhagen‘s orchestra.

In these years he played with Chet Baker, Stan Getz, and Oscar Pettiford. In 1958 he performed at Newport Jazz Festival and drew much attention on both sides of the Atlantic Ocean.

In 1966 he recorded his album Swinging Macedonia, produced by Eckart Rahn. The album contained original compositions inspired by the music of Balkans. In the years to follow he played with Miles Davis, Dizzy Gillespie, Gerry Mulligan, Sonny Rollins, Duke Jordan, and Slide Hampton.

He worked with the Kenny Clarke/Francy Boland Big Band from 1968–1973.