New York - Criteria: C (architecture/engineering)
| Hebron District School No. 16 |
| Hebron Valley Grange No. 1103 |
| Heckscher Park |
| Hedge Lawn |
| Hedges, The |
| Heermance Farmhouse |
| Heermance House and Law Office |
| Heintzelman Library |
| Heitz Place Courthouse |
| Helderberg Reformed Dutch Church |
| Helen Hill Historic District |
| Hellenic Orthodox Church of the Annunciation |
| Hemlock Fairground |
| Hempstead Town hall |
| Hendricks, John, House and Dutch Barn |
| Henry-Remsen House |
| Henry's Garage |
| Henson, Matthew, Residence |
| Hepburn Library |
| Hepburn Library of Colton |
| Hepburn Library of Lisbon |
| Herkimer County Historical Society |
| Herkimer County Jail |
| Herkimer County Trust Company Building |
| Herkimer House |
| Herring-Cole Hall, St. Lawrence University |
| Herschell, Allan, Carousel Factory |
| Herschell-Spillman Motor Company Complex, The |
| Hershkind House |
| Hertlein and Schlatter Silk Trimmings Factory |
| Hervey Street Road Stone Arch Bridge |
| Hess, Christian, House and Shoemaker's Shop |
| Hessinger Store |
| Hewlett House |
| Heyworth-Mason Industrial Building |
| Hiawatha Farm |
| Hickory Hill |
| Hicks Lumber Company Store |
| Hiddenhurst |
| Hieber, John C., Building |
| High and Locust Streets Historic District |
| High Bridge Aqueduct and Water Tower |
| High Falls Historic District |
| Highland Cottage |
| Highland Falls Railroad Depot |
| Highland Falls Village Hall |
| Highland Park Carousel |
| Highland Park Historic District |
| High Pumping Station |
| Hildreth-Lord-Hawley Farm |
| Hill Cottage |
| Hillcrest |
| Hillcrest |
| Hill, Nathaniel, Brick House |
| Hillsdale Hamlet Historic District |
| Hills, Ebenezer, Jr., Farmhouse |
| Hillside Cemetery |
| Hillside Cemetery |
| Hillside Lodge |
| Hillside Methodist Church |
| Hilton, Adam, House |
| Hilton, Peter A., House |
| Himrod Baptist Church |
| Hinchey, Franklin, House |
| Hipp-Kennedy House |
| Hobart, James, House |
| Hobart Masonic Hall |
| Hoeffer House |
| Hogeboom, Stephen, House |
| Holland Library |
| Holland Patent Railroad Station |
| Holland Patent Stone Churches Historic District |
| Holland Tunnel |
| Holley-Rankine House |
| Holley Village Historic District |
| Holy Cross Monastery |
| Holyoke Cottage |
| Holy Rosary Church Complex |
| Holy Trinity Church (Protestant Episcopal) |
| Holy Trinity Church, St. Christopher House and Parsonage |
| Holy Trinity Monastery |
| Holy Trinity Roman Catholic Church Complex |
| Homan-Gerard House and Mills |
| Home Farm |
| Homestead, The |
| Homestead, The |
| Homestead, The |
| Honeoye Falls Village Historic District |
| Hooey Cottage |
| Hook and Ladder No. 4 |
| Hook Windmill |
| Hoopes House |
| Hoornbeck, Jacob, Stone House |
| Hoornbeek Store Complex |
| Hoosick Falls Armory |
| Hoosick Falls Historic District |
| Hope Cemetery and Mausoleum |
| Hopewell Presbyterian Church |
| Hopkins Cottage |
| Hopkins Farm |
Data from United States Park Service and Wikidata