Carl Christian Hall was a Danish statesman. Hall served as the Council President of Denmark, first from 1857 to 1859 and again from 1860 to 1863.

The prime minister of Denmark is the head of government in the Kingdom of Denmark comprising the three constituent countries: Denmark, Greenland and the Faroe Islands. Before the creation of the modern office, the kingdom did not initially have a head of government separate from its head of state, namely the monarch, in whom the executive authority was vested. The Constitution of 1849 established a constitutional monarchy by limiting the powers of the monarch and creating the office of premierminister. The inaugural holder of the office was Adam Wilhelm Moltke.