Martin Henry Glynn (born September 27, 1871) was a Democratic politician who represented New York in the United States House of Representatives at the turn of the twentieth century. Serving a single term as a member of Congress, he held office as the representative for New York’s 20th congressional district.

Glynn entered Congress on December 4, 1899, and served until March 3, 1901. During this period, he was officially designated as a Representative and is recorded as a historical member of Congress. His tenure in the U.S. House of Representatives lasted one term, after which he left federal office. Further details about his committee assignments, office contact information, or subsequent public roles are not provided in the available record.