Henry Richard Smith (September 11, 1873 – October 24, 1928) was a politician and physician in Alberta, Canada.

He did post-graduate work in Edinburgh, Scotland, and London, England, and was house surgeon at Toronto General Hospital upon his return.

In 1901, he moved west to Alberta and practiced medicine in Star for a year and a half before relocating again to Edmonton.

Martha died in January 1901, and Smith married Mabel Rife, with whom he had a son and a daughter.

In 1912 he ran for and was elected as alderman on the Edmonton City Council, finishing first of seventeen candidates.