He is the eldest son of Rabbi Yekusiel Yehudah Halberstam, the first Sanz-Klausenberger Rebbe, who in his will divided the leadership of the Klausenburger Hasidim between his two sons, Rabbi Zvi Elimelech and Rabbi Shmuel Dovid (the present Sanz-Klausenburger Rebbe of Brooklyn).
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Halberstam was a child of his father's second marriage in 1947 to Chaya Nechama Ungar, the orphaned daughter of the Nitra Rav, Rabbi Shmuel Dovid Ungar.
David Halberstam | Yitzhak Ben-Zvi | Yekusiel Yehudah Halberstam | Solomon Joachim Halberstam | Zvi Hecker | Shmuel Dovid Halberstam | Elimelech of Lizhensk | Ben Zion Halberstam | Zvi Zamir | Zvi Nishri | Zvi Hercowitz | Zvi Elimelech Halberstam | Zvi Bar | Judith Halberstam | Isaac Halberstam | David J. Halberstam | David Halberstam's | Chaim Halberstam | Ben Zion Halberstam (I) | Ben Zion Aryeh Leibish Halberstam | Beit Zvi |