Henry Sheffie Geyer (born December 9, 1790) was an American politician who represented the state of Missouri in the United States Senate. Serving as an Independent, he held office as a senator from December 1, 1851, to March 3, 1857. During this single term in the Senate, Geyer was part of Missouri’s federal delegation at a time of growing national tension in the years leading up to the Civil War.

Geyer’s tenure in the Senate marked his principal role in national public life. Identified in historical records as a former senator and historical member of Congress, he completed one term representing Missouri before leaving office in 1857. Further details about his committee assignments, office location, or additional public roles are not provided in the available records.