Damcke was born in the so-called "French period" in Hannover. He first studied theology and later music in Frankfurt as a pupil of Aloys Schmitt who was appointed court organist and chamber musician of the Duke Adolph von Cambridge in Hanover in 1826 as well as Ferdinand Ries. In 1834, Damcke made an appearance in his hometown " probably for a short time" as violist in the Kingdom of Hanover court orchestra, which at that time still existed in the and was located in the east wing of the Leineschloss. However, he continued to study the piano and organ, also composing his first choral works. Later, Damcke moved to Bad Kreuznach where he conducted the localMusikverein and the Liedertafel and wrote the OratorioDeborah. In 1837, Damcke went to Potsdam, where he conducted the Philharmonische Gesellschaft Potsdam as well as the Gesangsverein für Opernmusik, with which he performed his Christmas Oratorio in 1840 and in the following year the Psalm 23 as well as an Ave Maria. Also still in 1841, Damcke took over the position of conductor in Königsberg. There, his opera Das Käthchen von Heilbronn after Heinrich von Kleist was premiered in 1845. in Paris In 1845, Damcke went to St. Petersburg as a piano teacher, where he also developed a richactivity as a sensitive music critic and wrote extensive articles for the German-language St. Petersburgische Zeitung. In 1855, he moved to Brussels. From 1859, Damcke lived and worked in Paris, where he wrote for various German and Russian journals. He also worked as a teacher, both privately and at the Conservatoire de Paris. One of his private pupils was Georges Pfeiffer. Damcke was friends with Hector Berlioz whom he had sponsored and whom he had already met in 1847 on the occasion of his guest performance in St. Petersburg. In Paris, he also taught under the later patronage of Fanny Pelletan, who conceptually developed the complete edition of Christoph Willibald Gluck's works, suggested by Berlioz, and presented its first three volumes, on which Damcke collaborated. Damcke died in Paris at age 63 and is buried at Père Lachaise Cemetery.