Joachim Godske von Moltke (25 July 1746 – 5 October 1818) was the Prime Minister of Denmark from 1814 to 1818.

He was the son of Danish diplomat Adam Gottlob Moltke (1710–1792), the influential Lord Steward and companion of Frederick V of Denmark,[1] and Christiane Frederikke von Brüggemann (1712–1760), the daughter of Godske Hans von Brügmann, til Østergaard og Ulriksholm and Margrethe Wilhelmine von Hausmann.

[3] Between his two wives, his father was said to have had 22 sons, five of whom became cabinet ministers, four who became ambassadors, two who became generals, and all of whom went into public service.

In 1817, botanist Johann Georg Christian Lehmann published Moltkia, a genus in the family Boraginaceae with 6 accepted species from the south of Europe and western Asia.

published Moltkiopsis, a monotypic genus of flowering plants from northern Africa and the Arabian Peninsula, belonging to the family Boraginaceae.