Alexander Hamilton Bailey (August 14, 1817 – April 20, 1874) was an American politician, a United States representative and judge from New York.

Bailey was examiner in chancery of Greene County from 1840 to 1842, and a Justice of the Peace of Catskill for four years.

[1] Elected as a Republican to the United States House of Representatives for the fortieth Congress, to fill the vacancy left by the resignation of Roscoe Conkling.

Not a candidate for renomination in 1870, Bailey was elected judge of the Oneida County Court in 1871.

Bailey died in Rome, Oneida County, New York, on April 20, 1874.