Robert Openshaw (1891 – 6 November 1962) was a British trade unionist. Born in Bolton, Openshaw was a keen cricketer, and once took all ten wickets in a Bolton Cricket League match. He moved to Crewe to find work, and became an engineer in the railway workshops there. He joined the Amalgamated Engineering Union and in 1930 was one of the youngest members to be elected to the union's executive council. In 1953, Openshaw was elected as the President of the AEU; he served until his retirement, three years later.