Alexander Robert Welch (July 15, 1873 — May 6, 1961) was a politician in Manitoba, Canada. He served in the Legislative Assembly of Manitoba from 1929 to 1945, and was a cabinet minister in the governments of John Bracken and Stuart Garson.Welch was born in Brechin, Scotland, the son of James Welch and Mary Ingram, and came to Canada with his parents in 1874. He was educated in Stratford, Ontario.