[1][2] Born in Homå near Grenå in the east of Jutland, Holm-Møller was the daughter of the teacher Carl Vilhelm August Møller and Ane Kirstine Barbara Holm.
In 1901, she entered the Royal Danish Academy of Fine Arts where she studied under August Saabye, Viggo Johansen and Sigurd Wandel.
For most of her life, she divided her time between Copenhagen, where she spent her winters, at her native Homå, where she lived with her two little nephews, Knud and Karl, who can often be seen in her paintings.
She became increasingly attracted to painting, her breakthrough coming in 1914 with Niobe, depicting her reactions to the outbreak of the First World War in bright, bold colours.
[1] After the Second World War, Holm-Møller travelled widely with her colleague Jens Nielsen (1891-1978) visiting primitive communities.