His acting career began at the young age of 12 with the film Македонскиот дел од пеколот,, however his first major role was in the TV Series based on the book "Волшебното самарче" from Ванчо Николески. He was the lead actor in the film, and acted alongside the legendary Macedonian actor.
Igor Džambazov was born in Skopje in a family of actors and musicians. His grandfather Petre Prličko was a celebrated actor and his father Aleksandar Džambazov is a conductor and composer. In his autobiography Тоа сум јас he states that the first music he had ever heard was his father's schlagers and at first he thought that it was the only music in the world, but later he figured out the con and started listening to something modern. He formed his first music group 'Pop' at only 12 years in 1975 and was actively engaged playing in the garages and bomb shelters around Skopje. Fifteen years later, he becomes member of Havana. Igor with the other two members of the band, Zeko and Pižerecorded three songs: Дај ми, жити се..., Нема спас and Шток ми бејби in only few months of the existence of their band. The songs were recorded in the studio of Toše Pop Simonov. Havana band had one of their most notable appearance on September 8, 1991, the day when Macedonia gained its independence from Yugoslavia. Then the band fell under bankruptcy. In the years that followed he participated in several national musical festivals, for which Igor acknowledges, is his biggest mistake in the field of music. From the national festival 'MakFest', from 1991, the song Љубов запеј ни which Igor recorded with, the sisters, Tanya and Lydia Kocovski and John Ilija Apelgrin, became the most performed song between two festivals in Macedonia. In 1992 he recorded two of his hits Чија си and Грев или шприцер, and again participated in 'MakFest' 1992 in which he performed the song Време за плачење and received the second prize from the audience. Also, he won the sixth place on InterFest, a music festival from Bitola in 1994 and in the same year published his first solo album called Greatest Hits. It was recorded in studio ROSS on tape and was produced by Robert Sazdov with the program and arrangement made by Darko Mijalkovski. The complete author of the songs is Igor Džambazov, except for one which was inspired by the song Dancing in the Street by Mick Jagger and David Bowie.