Henry C. Davis (18 June 1848 – 22 August 1889) was an American politician who served as the sixth lieutenant governor of Nevada as a member of the Republican party from 1887 until his death in 1889.

Davis was born on a farm in Vermilion County, Illinois on 18 June 1848.

He became an elector for the 1888 United States presidential election, casting his vote for Republican candidate Benjamin Harrison.

His funeral took place on 2 pm on 27 August 1889 in Carson City, Nevada, where he was buried in Lone Mountain Cemetery.

He was succeeded as lieutenant governor by fellow Republican Samuel W. Chubbuck on 9 September.