Henry Augustus Reeves (December 7, 1832 – March 4, 1916) was an American lawyer and politician who served one term as a U.S. Representative from New York from 1869 to 1871.

Born in Sag Harbor, New York, Reeves attended private schools in Sag Harbor, the Southampton Academy, the University of Michigan at Ann Arbor for three years, and graduated from Union College, Schenectady, New York, in 1852.

He edited the Republican Watchman in Greenport from 1858 until his death.

He was a member of the New York State Assembly (Suffolk Co.) in 1887.

He served as member of the State commission in lunacy from 1889 to 1897.