She was the daughter of the Golden Age painter Carl Christian Constantin Hansen and his wife Magdelene Barbara Købke.

Significantly influenced by Japanese art, she developed an ornamental approach to the seabirds, animals, plants and beach scenes she frequently painted.

Some of her ceramic creations are among her most notable works, especially a plate depicting a starfish, a glazed relief with oyster catchers, and distinctive bowls with vultures.

[4] From 1882, Konstantin-Hansen exhibited her paintings at Charlottenborg where in 1885 she won the Neuhausen Prize for her Drenge udenfor en Grønthandel (Boy Outside a Greengrocer's).

Konstantin-Hansen exhibited her work at the Palace of Fine Arts at the 1893 World's Columbian Exposition in Chicago, Illinois.