The group originated in Burshtyn, now located in the Ukraine, but once part of the Austria-Hungary. The Grand Rebbe is a scion of many great rabbinical dynasties, including Zidichov and Stretin. He has authored several books of Hasidic lore. He is a disciple of Grand Rabbi Joel Teitelbaum of Satmar. His brother, Grand Rabbi Isaac Menachem Eichenstein, is the Galanter Rebbe of Williamsburg, Brooklyn. His son, Rabbi Zeideleh has, in recent years, been functioning as a "Rebbe in Waiting" offering auxiliary and complementing Rebbe services alongside the Grand Rebbe. The second son, Rabbi Luzer, leads the local chapter in the Williamsburg section of Brooklyn.
The name 'Burshtin' ist derived from Polish-Yiddish (bursztyn) or Ukrainian (Бурштин) for amber (German and Yiddish: Bernstein, Börnsteen „Brennstein“, lit. "burn[ing]stone"; lat. electrum or glaesum, ἤλεκτρονēlektron[1]).
The new Burshtin headquarters is in its final stages of completion and is located at 12th Ave and 56th Street in Brooklyn, New York. Burshtin opened a new synagogue in the Williamsburg section of Brooklyn serving the followers of Burshtin living in Williamsburg.