| Name | Title | Court | County | Rate this Judge | Rating | # of Ratings |
| Hon. Arthur Hadden | Superior Court Judge |
District Court
| Hartford |  | | 0 |
| Hon. William Hadden, Jr. | Judge |
District Court
| New Haven | | | 0 |
| Hon. Susan Handy | Superior Court Judge |
District Court
| New London | | 10.0 | 1 |
| Hon. Michael Hartmere | Senior Judge |
District Court
| Fairfield | | | 0 |
| Hon. Donna Nelson Heller | Superior Court Judge |
District Court
| Fairfield | | 9.1 | 1 |
| Hon. Seymour L. Hendel | Judge |
District Court
| New London | | | 0 |
| Hon. Alex Hernandez | Superior Court Judge |
District Court
| Fairfield | | | 0 |
| Hon. Arthur Hiller | Judge |
District Court
| New Haven | | | 0 |
| Hon. William Holden | Superior Court Judge |
District Court
| Fairfield | | | 0 |
| Hon. Sheila Huddleston | Superior Court Judge |
District Court
| Hartford | | 1.0 | 1 |
| Hon. Bruce Hudock | Superior Court Judge |
District Court
| Fairfield | | 1.8 | 4 |
| Hon. Katherine Hutchinson | Magistrate Judge |
District Court
| Windham | | | 1 |