Zeta Apostolou born in the village of Athanasios Diakos in Fokida, she is the sister of fellow actress Natasha Apostolou.

One of her first appearances in the theater was in Manos Hadjidakis's Odos Oneiron.

She entered the cinema in 1960 with small roles in the films Sousourada and Thisiastika gia to paid mou. In 1961, she joined Finos Film and there she would make her best films. In 1963, she starred in Dinos Dimopoulos' social drama Amok, a film denouncing the savagery of war, racism and intolerance. The film also had a career abroad and the daring scenes with Zeta Apostolou were even featured on the film's painted posters. In 1965 she played a leading role in Vassilis Georgiadis' rural drama The Soil Was Dyed Red, while she disturbed the black-and-white screen with the best striptease in the history of Greek cinema in Dinos Dimopoulos' film The Enemies (1965). In the second half of the 1960s, the following films stand out from her filmography: Fokionos Negri's Remali (1965), The Secrets of Sinful Athens (1966) and Gabriela, the Sinner of Athens (1966).

Her presence in comedies was also strong, but always in the role of a dynamic and seductive woman. With the end of the golden age of Greek cinema, Zeta Apostolou entered the video field, making films that fortunately did not enter the public consciousness. With the advent of private television, he will star in the series Police Officer Thanasis Papathanasis (1990), The Good Mother-in-Law (1993), Borders of Love (1999) and of course in the television adaptation of Alkyoni Papadaki's book The Color of the Moon by Yannis Dalianidis.