In the beginning, the band performed under the name Idejni Posed (Notional Property), which was suggested by Korni Grupa leader Kornelije Kovač.

[1] In November 1970, on their concert in Sinagoga club in Zemun, disc jockey Zoran Modli asked the audience to suggest a name for the band.

[4][6] In accordance with the name, the band continued to hold birthday concerts on November 29, the date of Federal People's Republic of Yugoslavia declaration.

[1] The songs "Drveni most" ("Wooden Bridge"), "Mali medved" ("Little Bear") and "Devojka Džoj" ("Girl Named Joy") were well accepted on all of their concerts.

[7] Due to the fact that Veče uz radio show had a cult status in Bulgaria, audience knew all of their songs, but one part of the public was shocked by their appearance.

[7] YU Grupa continued as a trio, with Ratislav "Raša" Đelmaš, a former Mobi Dik, Pop Mašina and Siluete member, as the new drummer.

At that time, the keyboardist Tihomir "Pop" Asanović was approached to become a new member, but refused, deciding to join Novi Fosili instead.

[7] The album brought numerous hits: "Trka" ("The Race"), "Čudna šuma" ("Strange Forest"), blues-oriented "More" ("The Sea"), and their cult ballad "Crni leptir" ("Black Butterfly"), which was sung by Žika Jelić.

The double album Kongres rock majstora was released, on which Žika Jelić and Đelmaš were the support band following Bata Kostić, Vedran Božić and Josip Boček.

[7] In 1975, they released YU Grupa, featuring hits "Oprosti ljubavi" ("Forgive Me, My Love"), "Novi zvuk" ("New Sound") and "Ja moram dalje" ("I Have to Move On").

[10] The Jelić brothers started working as concert organisers, Đuričić became a member of Leb i Sol, and Miodrag Kostić became a Radio Belgrade editor.

[10] Although they occasionally performed during the 1980s, YU Grupa officially reunited in 1987, in the lineup that featured Jelić brothers, Bata Kostić and Velibor Bogdanović.

[10] They released their comeback album Od zlata jabuka (Golden Apple), with the title track inspired by folk music as the main hit.

[10] Live versions of YU Grupa's "Čudna šuma", "U tami disko kluba" ("In the Darkness of Discothèque"), "Crni leptir" and a medley compiled of "Nona", "Kosovski božuri" ("Kosovo Peonies") and "Sama" ("Alone") were released on the double live album Legende YU Rocka.

[10] The album's biggest hits were "Mornar" ("Sailor") and the power ballad "Dunavom šibaju vetrovi" ("Winds Blow by the Danube").

This album was followed by Tragovi (Traces), recorded with Đelmaš on the drums once again, and featuring Pera Joe, Saša Lokner and Nikola Čuturilo as guests.

[10] The album brought hits "Odlazim" ("I'm Leaving"), "Oluja" ("Storm"), "Dunav" ("Danube"), "Gledaj samo pravo" ("Just Look Straight Ahead").

[10] In 2005, with Igor Malešević (a former Hazari and Bjesovi member) as the new drummer, YU Grupa released a studio album with a symbolic title Dugo znamo se (We've Known Each Other for a Long Time).

[13] With Malešević on drums once again, the band celebrated 45 years of activity with a concert in New Belgrade Sports Hall, held on 17 December 2015.

The concert featured numerous guests: Partibrejkers frontman Zoran Kostić "Cane", Smak guitarist Radomir Mihajlović "Točak" and bass guitarist Zoran Milanović, Disciplina Kičme frontman Dušan Kojić "Koja" and singer-songwriter Nikola Čuturilo.

[19] In 2016 Dragi and Žika Jelić were awarded the second class Sretenje Order by the President of Serbia, Tomislav Nikolić, for their contribution to Serbian culture.