Kongen af Danmark was constructed by master shipbuilder Christian Bruus at Asiatisk Plads in 1788.[1] It was the 30th DAC ship built at Asiatisk Plads and the fifth DAC ship with that name.[2]
She completed five expeditions to Canton. Her captains were Jens Nielsen Tørslew (1788-1789), Andreas Halkiær (1794-1795), Jens Winther (1797-1798) and O.D.L. Agerbeck (1801-1802).[1]
The ship was only just able to make it back from her last expedition to Canton. Her hull contained seven of water as she arrived in Copenhagen. She was therefore broken up the same year.[2]