Carl Christian Møller (2 June 1823 – 2 April 1893) was a Danish concertmaster and composer. His father was a musician and early in his life Carl Christian was hired in the Danish Civil Artillery Music Corps and later became a musician in the 2nd Brigade Music Corps while also playing in Hans Christian Lumbye's orchestra. He participated in the First Schleswig War as a musician but from the 1850s and the rest of his life he worked as leader of different orchestras, initially travelling ensembles but in 1857-64 and 1875-85 he led the orchestra of Folketeatrets in Copenhagen. From 1875 until his death he was a popular leader of Tivoli's concert band.