Damrosch was born in Posen (Poznań), Kingdom of Prussia, the son of Heinrich Damrosch. His father was Jewish and his mother was Lutheran. Leopold Damrosch was baptized a Lutheran when marrying his wife, former opera singer Helene von Heimburg.
Damrosch began his musical education at the age of nine, learning the violin against the wishes of his parents, who wanted him to become a doctor. Capitulating to the wishes of his parents he entered the University of Berlin and completed his PhD in medicine but during his spare time he studied violin under Ries, and thorough bass with Dehn and Bohmer. After he completed his degree Damrosch decided to dedicate his life and energy to music. He gained fame as a violinist and began to play to large audiences in many major German cities including Berlin and Hamburg. He went to Weimar, and was received by Franz Liszt, who appointed him solo-violinist in the Ducal orchestra.
Damrosch first appeared as a conductor during the season of 1859 where he conducted the Philharmonic concerts in Breslau. He continued to conduct the Philharmonic for three years due to the success of this season. In 1862 Damrosch founded a symphonic society in Breslau with an orchestra of eighty performers, modeled after the Gewandhaus concerts of Leipzig.
This society gained fame throughout Germany and Damrosch invited Liszt to conduct several of the performances, an invitation which he accepted. Wagner also accepted the invitation to conduct his own manuscript compositions in the winter of 1867.
In 1871, Damrosch emigrated to the United States of America at the invitation of the Arion Society in New York. He first conducted in the United States on 6 May 1871, at Steinway Hall, as conductor, composer, and violinist. He participated in many concerts over this period and in 1873 he founded the Oratorio Society of New York. The first concert of this society was later that year and consisted of a programme of selections from Johann Sebastian Bach, Georg Friedrich Handel, Giovanni Pierluigi da Palestrina and other great Baroque composers. In 1874 Damrosch gave another concert at the Oratorio Society, this the first with a full orchestra, consisting of Handel's Samson. For Christmas that year Messiah was performed.
In 1877 Damrosch, in connection with a number of persons interested in the cultivation of orchestral music, established the Symphony society. This society became closely identified with the Oratorio Society and several joint performances were organized. The co-operation of these societies reached its climax in the great "musical festival" which was held in the armory of the 7th regiment in New York, from 3 till 7 May 1881. The chorus numbered 1,200, the main body being the Oratorio Society, which was augmented by various choral societies from neighboring towns. An additional chorus of 1,000 young ladies from the Normal College and 250 boys from the Church choirs took part in the afternoon concerts. The orchestra was composed of 250 pieces, and Dr. Damrosch selected a large number of artists for soloists. Among the choral works performed were Handel's Dettingen Te Deum and Messiah; Rubinstein's Tower of Babel (first time); Berlioz's Grande Messe des Mortes (first time); and Ludwig van Beethoven's Ninth Symphony. The audience numbered from 8,000 to 10,000 at each concert, and the enthusiasm for the projector of this enterprise resulted in an ovation on the last night. The degree of Doctor of Music was conferred upon him by Columbia in 1880.
In 1883, Damrosch traveled extensively through the west with his orchestra. In September 1884, he began a remarkable series of operatic performances as General Manager and chief conductor of the Metropolitan Opera in New York. The company had experienced great financial losses during its first season of Italian opera under director Henry Abbey. For its second season it turned to Damrosch to direct the company in German repertory. The company comprised some of the greatest artists of the German opera houses, and, in contrast with the hitherto prevailing mode, every part, even the smallest, was carefully presented. Twelve of the operas performed were comparative novelties, the most important of which were Wagner's Tannhäuser, Lohengrin, and Die Walküre, and Beethoven's Fidelio. This proved to be Damrosch's last effort. He conducted every performance except during the last week of his life, when he took a severe cold, from which he never recovered. He died in New York City in 1885.
His sons Frank Damrosch and Walter Johannes Damrosch, both born in Breslau, in 1859 and 1862 respectively, both succeeded him as conductors of the Oratorio Society of New York. His daughter, Clara Mannes, was a music teacher. His grandchildren were musician Leopold Mannes and writer Marya Mannes.
- Am Manzanares, op. 11 no. 10
- An, op. 8 no. 5
- An den Mond, op. 17 no. 4
- Bedeckt mich mit Blumen, op. 11 no. 7
- Bedeckt mich mit Blumen, op. 11 no. 3
- Bitte, op. 5 no. 1
- Cantatas 1 - 7
- Das Meer erstrahlt im Sonnenschein, op. 16 no. 1
- Dereinst, dereinst, op. 11 no. 4
- Dich lieb' ich inniglich, op. 7 no. 3 (E. Kern)
- Die blauen Frühlingsaugen, op. 13 no. 3
- Die du bist so schön und rein, op. 10 no. 3
- Es war ein alter König, op. 10 no. 4
- Frühling, op. 16 no. 2
- Frühlingslied, op. 6 no. 3
- Geh, Geliebter, geh jetzt!, op. 11 no. 6
- Hör' ich das Liedchen klingen, op. 10 no. 2
- Ich halte ihr die Augen zu, op. 16 no. 4
- Ich hatte einst ein schönes Vaterland, op. 13 no. 2
- Ich liebe dich, op. 8 no. 1
- In der Ferne, op. 10 no. 1
- Jedweder Geselle, sein Mädel im Arm, op. 16 no. 5
- Kalt und schneidend weht der Wind, op. 8 no. 8
- Kommen und Scheiden, op. 5 no. 4
- Liebesfrühling, op. 5 no. 5
- Liebesgruss, op. 14 no. 1 (Volkslieder (Folksongs))
- Lied des Fischerknaben
- Mädchen mit dem rotten Mündchen, op. 10 no. 6
- Mignon, op. 17 no. 2
- Nachhall, op. 5 no. 2 ((Ignaz) Julius Lasker)
- Nachtgesang, op. 17 no. 3
- Nähe des Geliebten, op. 17 no. 1
- Nelken wind' ich und Jasmin, op. 11 no. 5
- Schiller's "Joan of Arc"
- Siegfrieds Schwert
- Symphony in A Major (1878)
- Trost, op. 8 no. 6 (Joseph Christian Freiherrn von Zedlitz)
- Violin Concerto in D minor (pub. by Bote & Bock, 1878). One of at least two violin concertos by the composer; the other, also in D minor, dates from 1874.
- Von dem Rosenbusch, o Mutter, op. 11 no. 2
- Wandl' ich in dem Wald des Abends, op. 16 no. 3
- Wenn ich auf dem Lager liege, op. 10 no. 5
- Wenn ich ihn nur habe, op. 7 no. 2
- Wieder möcht' ich dir begegnen, op. 8 no. 9
- Zuléikha, op. 6 no. 2
- Zuversicht, op. 5 no. 3 ((Ignaz) Julius Lasker)
- Leopold Damrosch: North American Theatre Online
- The Damrosch Dynasty: America's First Family of Music - George Whitney Martin - Google Books. Books.google.ca. Retrieved 2013-04-23.
- Symphony in A Major - Leopold aDamrosch - Google Books. Books.google.ca. Retrieved 2013-04-23.
- Notable American Women 1607-1950: A Biographical Dictionary - Google Books. Books.google.ca. Retrieved 2013-04-23.
- Damrosch, Leopold; Agócs, Kati, ed. (2005). Symphony in A major at Google Books. Middleton, Wis.: A-R Editions. ISBN 0-89579-582-5.
- Goetschius (1929), p. 370
- "Hofmeisters Monatsberichte". Friedrich Hofmeister. November 1878. p. 320. Retrieved March 26, 2011.
- That said, there are manuscript piano scores and parts for other violin concertos by Damrosch - an "Op. 8" dated 1858 October 9 at the New York Public Library, and in the Library of Congress Mannes-Damrosch Collection, two parts of violin concertos, both called Zweites Concert, in F♯ minor and in G major.
- Wilson, James Grant; Fiske, John, eds. (1900). "Damrosch, Leopold". Appletons' Cyclopædia of American Biography. New York: D. Appleton.
- Damrosch Song Cycle and Art Song list
- Article on the Work of Damrosch by Juilliard doctoral student Kati Agócs
- Free scores by Leopold Damrosch at the International Music Score Library Project