Henry Addington (1757–1844) was Prime Minister of the United Kingdom from 1801 to 1804.

Henry Addington may also refer to:

People Henry Unwin Addington (1790–1870), his nephew; British diplomat and civil servant

Ships , a list of ships with the name , the first of two East Indiamen , the second of two East Indiamen

See also Henry Addington Bruce (1874–1959), H. Addington Bruce, American journalist and author