The kibbutz is named after a biblical city in the territory of the Tribe of Judah called Hatzor. The extended name Hatzor Ashdod is to distinguish between this kibbutz and the Galilean town of Hatzor HaGlilit, although the kibbutz is best known as simply "Hatzor".
The gar'in of the kibbutz was founded by a group of Hashomer Hatzair graduates from Mandatory Palestine who gathered at Mishmar HaEmek in 1936. It was named as Kibbutz Eretz Israeli Gimel. In 1937 the members left Mishmar HaEmek and moved to Rishon LeZion and settled in a camp used by another gar'in that left to establish the kibbutz of Sha'ar HaGolan. At Rishon LeZion the members were occupied in manual work at orchards, factories, road paving and established a carpentry shop and a Laundrette. In 1938, some of the members were sent for agricultural training in Beit Gan. In 1941 the gari'n absorbed a group of pioneers from Bulgaria, graduates of Hashomer Hatzair and in the years 1945 and 1946 two groups from the United States and Canada, graduates of the movement as well. In 13 May 1943, a group of the gar'in members founded Gvulot, one of the three lookouts, the first Jewish settlements in the Negev. The members settled in Gvulot for three years where they worked the lands of the Jewish National Fund and asked to remain there as a permanent settlement. In 1946 Jewish establishments decided to give the land to members of kibbutz Nirim and in return the members of Kibbutz Eretz Israeli Gimel were given lands near Yasur.
After the establishment of the kibbutz
On 17 June 1946 some of the members arrived at the point and established the kibbutz, which is when they renamed themselves as "Hatzor". The location chosen for the kibbutz was a naked hill, with four Arab villages surrounding it and a British airbase. Initially, the residents lived in tents and built two sheds that were used as a dining room and a barrack. In January 1947 the residents began building permanent buildings and the rest of the members of the gar'in gradually arrived at the kibbutz from Rishon LeZion until all of them arrived in November 1947. During the 1947-1948 Civil War in Mandatory Palestine transportation was limited and was only carried out with armored vehicles and field work was done under guards. Following the Israeli Declaration of Independence in 14 May 1948, the army of Egypt invaded the former territory of Mandatory Palestine and advanced along the coast line until it reached Ad Halom bridge. From the end of May till October 1948, the kibbutz was near the front lines of the Egyptian Army and was repeatedly shelled by artillery fire. Many of members of the kibbutz were recruited to the Israeli Defense Forces and participated in the Battles of Negba. The children, as well as livestock, were evacuated to Holon, while the members who stayed in the kibbutz hid in trenches and shelters. Following Operation Yoav in October the Egyptians withdrew and the kibbutz returned to routine life. The surrounding Arab villages were depopulated and their residents became refugees in the Gaza Strip. Their land was confiscated by the state of Israel and part of it was leased to the kibbutz. In the 1950s, another group of Hashomer Hatzair members from France and Switzerland also joined the kibbutz. Like other kibbutzim founded by Hashomer Hatzair members, Hatzor was affiliated with the Kibbutz Artzi movement, which in the 1990s merged into the Kibbutz Movement. Since the 1990s the Kibbutz has undergone changes towards privatization and abandoned many of its original collective habits. The latest step was the switch to "Safety Net" model in 2006, which in principle means every member is responsible to earn his own living, with a method of slightly reducing the difference between the "richer" and "poorer". As a result of that, more than 100 new members were admitted within 7 years. A new neighborhood of 44 families, populated by those new members, has been completed in spring 2014.