Jack Simpson (1 December 1920 – 13 January 1997) was a Northern Irish first-class cricketer.
Simpson was born in Lisburn and was educated in the town at Wallace High School and Lisburn Technical College.
Playing his club cricket for Lisburn, Simpson made a single appearance in first-class cricket for Ireland at Paisley in 1954.
He batted once in the match, scoring 26 runs in Ireland's first-innings, before being dismissed by Jimmy Allan.
He also bowled fifteen wicket-less overs across Scotland's two innings.