Henry Webb Genet (February 27, 1828 – September 6, 1889) was an American lawyer and politician from New York.
He attended school in Albany, Glens Falls Academy, and New York University.
Genet was a member of the Tweed Ring and was convicted in December 1873 for "having, by false and fraudulent means, obtained the signature of Mayor A. Oakey Hall to a warrant for $4,802 for the payment of iron-work alleged to have been supplied by J. McBride Davidson for the Harlem Courthouse."
Sheriff Matthew T. Brennan let Genet escape and spent 30 days in jail himself.
On September 6, 1889, he died of cancer at his home at 100 West 124th Street in New York City and was buried at the Woodlawn Cemetery in The Bronx.