Brought up in England, Eban studied Oriental languages (Arabic, Hebrew, and Persian) and classics and lectured at the University of Cambridge. In 1941, as a British army major, he served as an aide to the British minister of state in Cairo. In 1946 he worked with the Jewish Agency as a political information officer to establish a Jewish homeland in Palestine. He also served as the liaison officer with the United Nations (UN) Special Committee on Palestine in 1947 and as a member of the delegation to the General Assembly that played a critical role in the passage (1947) of the UN resolution to partition Palestine.

When the new state of Israel was admitted to membership in the UN in 1949, Eban became its permanent representative and served in that post until 1959. From 1950 to 1959 he served concurrently as ambassador to the United States.

First elected to the Israeli Knesset (parliament) in 1959, Eban was minister of education and culture under Prime Minister David Ben-Gurion (Ben-Gurion, David) from 1960 to 1963, and from 1959 to 1966 he was also president of the Weizmann Institute of Science. He served as deputy prime minister in 1964–65 and later was Israel's foreign minister from 1966 to 1974. As foreign minister, he sought to strengthen relations with the United States and to bring about Israeli association with the European Economic Community. When Israel was threatened with an Arab blockade in May 1967, Eban traveled to Paris, London, and Washington, D.C., to seek a peaceful solution. When diplomacy proved fruitless, Eban supported the military decisions in the Six-Day War (Arab-Israeli wars) in June. His eloquent defense of Israel's actions before the Security Council and the General Assembly of the UN was widely admired. He sat in the Knesset as a member of the Israel Labour Party until 1988.

Eban's published works include Voice of Israel (collection of speeches, 1957), The Tide of Nationalism (1959), My People (1969), a history of the Jews, An Autobiography (1977), Personal Witness (1992), and Diplomacy for the Next Century (1998).