Möller studied at the Academy of Fine Arts in Dresden and later in Munich. He was deeply influenced by Impressionism, Jugendstil and Symbolism, contributing to define his future style as one of the most lyrical of German Expressionism. He was initially member of Die Brücke but when the group dissolved he found himself close to the artists of Der Blaue Reiter group. After WWI he took on the role of Professor at the Academy of Arts in Breslau. His technique was distemper on canvas but he was also proficient in lithography and woodcut print and etching.