| Name | County | District |
|---|---|---|
| Rogers N. Hays | Giles County | 22 |
| James S. Haywood | Haywood County | 28 |
| Jennifer Hedge | Benton County | 24 |
| Gayla Colvert Hendrix | DeKalb County | 13 |
| Lucy Henson | Giles County | 22 |
| Timothy D. Hewitt | Bradley County | 10 |
| Jack S. Hinson | Henderson County | 26 |
| Josh Hixson | Rhea County | 12 |
| Bradley H. Hodge | Anderson County | 7 |
| Jason Holly | Carter County | 1 |
| John Aaron Holt | Davidson County | 20 |
| Kenya Hooks | Shelby County | 30 |
| Angela R. Hoover | Henry County | 24 |
| M. Andrew Hoover | Giles County | 22 |
| Johnny D. Houston, Jr. | Hamilton County | 11 |
| Jake Hubbell | Maury County | 22 |
| Max Huff | Scott County | 8 |
| Gary Humble | Hamilton County | 11 |
| Jennifer Hurst | Gibson County | 28 |
| J. Michael Ivey | Decatur County | 24 |
| Charles G. Jenkins | Marion County | 12 |
| Marsha W. Johns | Carroll County | 24 |
| Alex Johnson | Sevier County | 4 |
| Joseph Clifford Johnson | Franklin County | 12 |
| Patricia Johnson | Hancock County | 3 |
