| Office: | Senator |
| Term Start: | 21 April 1948 |
| Term End: | 14 August 1951 |
| Constituency: | Industrial and Commercial Panel |
| Office1: | Teachta Dála |
| Term Start1: | February 1932 |
| Term End1: | February 1948 |
| Constituency1: | Dublin County |
| Birth Date: | 17 April 1880 |
| Birth Place: | Blackrock, Dublin, Ireland |
| Death Place: | Dublin, Ireland |
| Nationality: | Irish |
| Mother: | Margaret Shannon |
| Relatives: | George Dockrell (brother) |
| Alma Mater: | Trinity College Dublin |
Henry Morgan Dockrell (17 April 1880 – 26 October 1955) was an Irish Cumann na nGaedheal and Fine Gael politician who was elected to both Dáil Éireann and Seanad Éireann.[1]
Dockrell was born on 17 April 1880 at the family home, 10 Waltham Terrace, Blackrock, Dublin.[2] He was educated privately, and for a time at Trinity College Dublin (from 1898). He joined the family firm of Thomas Dockrell, Sons and Co. Ltd in 1900, becoming managing director and chairman on his father's death in 1929.
Dockrell married Alice Evelyn Hayes in June 1906, and they had four sons and one daughter.[2] Two of his sons, Percy Dockrell and Maurice E. Dockrell were also Fine Gael TDs and councillors. His daughter was the swimmer, Marguerite Dockrell. His father, Sir Maurice Dockrell, was a Unionist Member of Parliament. His mother, Margaret Dockrell, was a suffragist, philanthropist, and councillor.[3]
He was first elected at the 1932 general election as a Cumann na nGaedheal Teachta Dála (TD) for the Dublin County constituency, and was re-elected five times for the same constituency until he retired at the 1948 general election.[4]
After retiring from the Dáil, Dockrell was elected to the 6th Seanad by the Industrial and Commercial Panel in 1948, but was defeated in the 1951 election for the 7th Seanad.