Jurtin joined Sturm Graz in the summer of 1974 under coach Karl Schlechta and immediately forced his way into the starting eleven. One of his finest seasons came in 1980/81 when he scored 20 goals in the Bundesliga including five in a 7-0 win against Wiener Sportclub on 5 June 1981. He formed a prolific strike partnership with Bozo Bakota. By the time Jurtin left Sturm Graz in 1987, he had made 373 appearances for them, scoring 119 league goals. The blond-haired number 11 was the first Graz player to break the 100-goal barrier in the league.