| Name | County | District |
|---|---|---|
| Charlton (Charlie) Guffey | Fentress County | 8 |
| Macey Gurley | White County | 13 |
| Jeff Harmon | Marion County | 12 |
| Tracy Lynn Harrell | Humphreys County | 23 |
| R. Price Harris | Fayette County, Tipton County | 25 |
| Gregg Harrison | Loudon County | 9 |
| 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 |
| Charles A. Herman | Campbell County | 8 |
| David F. Hessing | Henry County | 24 |
| Timothy D. Hewitt | Bradley County | 10 |
| Edward L. Hiland | Rutherford County | 16 |
| Jack S. Hinson | Henderson County | 26 |
| Bradley H. Hodge | Anderson County | 7 |
| Cameron Hoffmeyer | Lawrence County | 22 |
| Jason Holly | Carter County | 1 |
| John Aaron Holt | Davidson County | 20 |
| Deana C. Hood | Williamson County | 21 |
| Kenya Hooks | Shelby County | 30 |
| Angela R. Hoover | Henry County | 24 |
| M. Andrew Hoover | Giles County | 22 |
| Johnny D. Houston, Jr. | Hamilton County | 11 |
