Niels Bjørnsen Møller, also Nils Björnson Möller was a Norwegian landscape and marine painter of the Düsseldorf School.

After Møller had received his first artistic training from the painter friends (Malersvenn) in Drammen in 1850, he went to the Royal Drawing School in Christiania in 1851. There he painted a portrait of his friend and classmate Lars Hertervig. In 1852 he attended the Royal Danish Academy of Fine Arts in Copenhagen. The following year he followed Hertervig to Düsseldorf, where he took private lessons from Hans Fredrik Gude in 1852/1853 and was taught by Erik Bodom in 1853/1854. He enrolled at the Düsseldorf Art Academy from 1855 to 1857. At the academy he attended Gude's landscape painting class. From 1857 he switched to his private lessons.

After completing his studies, he took up permanent residence in Düsseldorf, from where he undertook study trips to Norway and Sweden, Germany, Switzerland and the Netherlands as well as to Paris. In 1860 he married the Swedish painter Jeanette Holmlund, who had received private training in Düsseldorf since 1858. From 1863 the landscape painter Josefina Holmlund, Møller's sister-in-law, also lived with them. The couple had two children.

From 1862 until his death, Møller was a member of the artists' association Malkasten.