Carl was born in Mannheim and was first taught music by Johann Stamitz, his father and founder of the Mannheim school. He played in the orchestra at Mannheim from 1762 and in 1770 moved to Paris where he became known as a violinist. He later lived in a number of places, including Prague and London.
Stamitz wrote over fifty symphonies and about as many concertos for various instruments, as well as a quantity of chamber music.