Sir Hugh Norman Annesley QPM (born 22 June 1939) is a retired Irish/British police officer.
He served as Chief Constable of the Royal Ulster Constabulary from June 1989 to November 1996.
Rising through the ranks to chief superintendent in 1974, he attended the Special Course (1963), Intermediate Command Course (1971) and Senior Command Course (1975) at the Police Staff College, Bramshill, before transferring to Sussex Police as Assistant Chief Constable (Personnel & Operations) in 1976.
He attended the Royal College of Defence Studies in 1980 and the following year returned to the Metropolitan Police as Deputy Assistant Commissioner (Central & North West London).
In 1983 he became Deputy Assistant Commissioner (Personnel) and in 1984 was director of the Force Re-organisation Team.