The club's stature and significance began increasing from 1933. It got its own stadium in 1935, and the first match at the new stadium was played on 18 August 1935, against local rivals Slavija, which was won by 1–0 and the first goal scored Jeremija Nikolić. At that time the club had also a number of international matches. Radnički was in the prewar years of the World War II host of teams like Olympique Marseille, Ferencváros and Honvéd Budapest, Rapid Wien and some others. The club competed in the highest league of the Kragujevac Football Subassociation which gave access to the qualifiers for the Yugoslav Championship. Radnički won the Subassociation league in 1934, 1935, 1938 and 1939, however it only managed to qualify once to the national league, in the 1935–36 season. They had a fierce rivalry with FK Šumadija 1903 in this period.