Haim was born on September 20, 1929 to Ovadia and Rachel Levi in Tel Aviv. He studied in Talmud Torah, then began training at a kibbutz. He believed that fighting to banish the British was necessary, and once he completed his training he went back to the city and joined the underground with Lehi. His first duties were putting up posters and other ongoing activities, but he was soon sent to a course in firearms and explosives in Nes Ziona. He then joined the combat unit and started fighting the British actively.
Since his academic pursuits were a distraction, he decided to quit school and start working in construction. He would attack British policemen and soldiers. He was part of the Barclays Bank robbery on Allenby Street in Tel Aviv, as well as other operations. He hid weapons in his parents’ home.
His major operation was against the Kalaniot, as the Yishuv called them, the 6th Airborne Division in Palestine; they had a car park on HaYarkon Street in Tel Aviv. The goal was to acquire weapons. Several British soldiers were killed. He was arrested, interrogated and imprisoned in Latrun.
After the Partition Plan and the beginning of hostilities with the Arabs, Haim was active in Lehi operations on the border of Jaffa and in the area. They would blow up Arab homes from which Arab snipers shot at the Jewish neighborhoods.
Once the State was established, he enlisted in the IDF with the other Lehi members. He was assigned to Battalion 89 of the 8th Brigade, in which he fought throughout the War of Independence.
In the midst of the war, he married Hadassah Nadav, and they had a son and a daughter.
After his military service, Haim went to work for the Jewish Agency, until he retired.