Henry Percy Dockrell (27 December 1914 – 22 November 1979) was an Irish Fine Gael politician who served for twenty years as a Teachta Dála (TD).
Dockrell was first elected as a Fine Gael TD for the Dún Laoghaire and Rathdown constituency at the 1951 general election, and was re-elected at the 1954 general election. He was defeated at the 1957 election, but regained his seat at the 1961 general election and was re-elected a further three times for the same constituency until he was defeated at the 1977 general election.
His father Henry Morgan Dockrell and his brother Maurice E. Dockrell were also Fine Gael TDs. His grandfather Sir Maurice Dockrell had been a Unionist MP before independence. Percy Dockrell's two sons, John H. Dockrell and William Dockrell, served as councillors on the Corporation of Dún Laoghaire, a predecessor of Dún Laoghaire–Rathdown County Council.