Eliezer was born in 1908 in Makó, Hungary, to Aryeh and Yettel née Blau, who raised geese. They were religious Zionists, and they longed to make aliyah. Eliezer studied in cheder, but at age fourteen he was sent to the Pressburg Yeshiva in Bratislava, where he met his relative Hannah.
He made aliyah as a tourist in 1932, and one year later Hannah joined him. They married in the Land of Israel.
After their marriage, they lived in Tel Aviv and Eliezer worked in construction, gardening and odd jobs. As a HaPoel HaMizrahi activist, he was a target for Histadrut workers, who kept him from getting jobs, leaving the family close to starvation.
During World War II, he worked in construction and security, and it was then that he joined Lehi. In 1943, he was put in charge of maintenance at the synagogue on Allenby Street in Tel Aviv by David Tzvi Pincus, who was the president of the synagogue and knew the family from before they arrived in the Land of Israel. Eliezer suggested putting one of the Lehi weapons caches beneath the synagogue. On “Black Sabbath,” this hiding place was discovered, due to informers. Eliezer was arrested, tried, convicted and sentenced to a year in prison, which he spent in the Jerusalem Central Prison.
After the State was established, he went to work in a blanket store owned by his sister. He was active in the Revisionist Movement and in the Herut Movement. He was very close to Rabbi Aryeh Levin, and he would visit him every time he found himself in Jerusalem.
Eliezer died at age 59 in 1967, leaving a wife and three children.