Robert Dempster (11 March 1915 – 2 April 1974) was an Australian cricketer. He played eight first-class cricket matches for Victoria between 1935 and 1941. He had a highly successful district career as an all-rounder for the North Melbourne cricket club, captaining them into the late 1940s. In his personal life he had two daughters and worked as estimating officer for Henderson's Spring Works from when he left school throughout his cricket career.