Francis Henry Dodds (June 9, 1858 – December 23, 1940), was a politician from the U.S. state of Michigan. Dodds was born on a farm near Waddington in St. Lawrence County, New York. He attended the local schools and moved with his parents to Isabella County, Michigan, in 1866. He graduated from Olivet College and taught school at Olivet and Mount Pleasant, Michigan. He graduated from the law department of the University of Michigan at Ann Arbor in 1880 and was admitted to the bar the same year and commenced the practice of law at Mount Pleasant. He served as city attorney of Mount Pleasant, 1892–1894; and was a member of the board of education, 1894-1897.