[1] The original members were Heinrich August Matthäi (1781–1835), who is considered the quartet's founder, Bartolomeo Campagnoli (1751–1827), who was concertmaster at the time, violist Johann Georg Hermann Voigt (1769–1811) and cellist Friedrich Dotzauer (1783–1860).
After Matthäi died in 1835, Ferdinand David (1810–1873) succeeded him, both as quartet primariu and as concertmaster.
Important members were Carl Traugott Queisser (1800–1846), Joseph Joachim (1831–1907), Engelbert Röntgen (1829–1897), Julius Klengel (1859–1933), Gerhard Bosse (1922–2012) and Karl Suske (born in 1934).
In addition, the quartet has performed with important other soloists, including Clara Schumann, Johannes Brahms, Edvard Grieg, Felix Mendelssohn Bartholdy, Arthur Nikisch.
Further premiered compositions were by Niels Gade, Louis Spohr, Ignacy Feliks Dobrzyński, Anton Rubinstein, Max Bruch, Salomon Jadassohn, Ethel Smyth, Felix Weingartner, Hermann Ambrosius, Antonín Dvořák, Siegfried Thiele, Günter Kochan, and others.