Ian Burns Cromb (25 June 1905 – 6 March 1984) was a New Zealand cricketer who played in five Tests from 1931 to 1932, including all three Tests of the 1931 tour of England. Cromb was born in Christchurch and attended Christchurch Boys' High School. He was an all-rounder: an aggressive batsman and a fast-medium bowler in his younger days and a spin bowler later in his career. He played for Canterbury from 1929–30 to 1946–47, captaining the side from 1935–36 to 1937-38 and again from 1945–46 to 1946–47, and he also captained New Zealand in the four-match series against the visiting MCC in 1935–36. As a captain, he had a "penchant for the unexpected".