Henry Bodenstab was an American lawyer from Milwaukee, Wisconsin who spent four years as a member of the Wisconsin State Senate.
Bodenstab was born on June 29, 1874 in Howards Grove, Wisconsin. His father, Julius Bodenstab, had just finished his second of two terms as a Liberal Republican member of the Assembly.
He graduated from the University of Michigan Law School in 1898.
Bodenstab was a member of the Senate from 1909 to 1912. He was a Republican.