Henry Richard Budgen (4 July 1865 – 13 March 1929) was an English cricketer. Budgen was a right-handed batsman, although his bowling style is unknown. He was born at Brighton, Sussex. Budgen made his first-class debut for Sussex against the Marylebone Cricket Club at Lord's in 1886. He made nine further first-class appearances for the county, the last of which came against Somerset at the County Ground, Taunton, in the 1892 County Championship. In his ten first-class matches, he scored a total of 120 runs at an average of 7.50, with a high score of 32.