| Habitat | 1966 | Sir Gaylordn |
| Hackler | 1887 | Pot 8 o'sn |
| Hagioscope | 1878 | King Fergusn |
| Hail to Reason | 1958 | Royal Chargern |
| Hall Mark | 1930 | Bend Orn |
| Halo | 1969 | Hail to Reasonn |
| Hambletonian | 1792 | King Fergusn |
| Hampton | 1872 | Pot 8 o'sn |
| (A) Hamrah | 1904 | Arabn |
| Harbor Prince | 1969 | Princequillon |
| Hard Sauce | 1948 | Pharisn |
| Hard Tack | 1955 | Pharisn |
| Hard Work | 1967 | Owen Tudorn |
| Harkaway | 1834 | Pot 8 o'sn |
| Harmonicon | 1910 | Himyarn |
| Hastings | 1893 | Matchemn |
| Hasty Road | 1951 | Teddyn |
| Hatchet Man | 1971 | Blenheimn |
| Hautboy | 1897 | St. Simonn |
| Haut Brion | 1890 | St. Simonn |
| Havoc | 1890 | Pot 8 o'sn |
| Havresac | 1915 | St. Simonn |
| Hawaii | 1964 | Danten | He | 1915 | King Fergusn |
| Heaume | 1887 | Pot 8 o'sn |
| Heliopolis | 1936 | Hyperionn |
| Helioscope | 1951 | Hyperionn |
| Hellespont | 1933 | Pharosn |
| Henry the Seventh | 1958 | Owen Tudorn |
| Herbager | 1956 | Son-in-Lawn |
| Hermit | 1864 | Pot 8 o'sn |
| Herod | 1758 | Herodn |
| Herodote | 1918 | Herodn |
| Heroic | 1921 | Bend Orn |
| Herold | 1917 | Hamptonn |
| Hero's Honor | 1980 | Northern Dancern |
| High Cloud | 1916 | Himyarn |
| Highest Honor | 1983 | [_[n |
| Highflyer | 1774 | Herodn |
| High Top | 1969 | Danten |
| High Treason | 1951 | Danten |
| Hill Gail | 1949 | Teddyn |
| Major Portion | 1955 | Fair Trialn |
| Himyar | 1875 | Pot 8 o'sn |
| Hippodrome | 1904 | Himyarn |
| His Highness | 1936 | Hyperionn |
| His Majesty | 1968 | Ribotn | Hoist the Flag | 1968 | Ribotn |
| Hul a Hul | 1962 | Native Dancern |
| Hold Your Peace | 1969 | Princequillon |
| Hollister | 1914 | King Fergusn |
| Holy Bull | 1991 | Himyarn |
| Honest Pleasure | 1973 | Bold Rulern |
| Honeyway | 1941 | Fairwayn |
| Honour and Glory | 1993 | Intentn |
| Hunter's Moon | 1926 | Hurry Onn |
| Hook Money | 1951 | Hamptonn |
| Hornbeam | 1953 | Hyperionn |
| Horron | 1910 | Pot 8 o'sn |
| Hugh Lupus | 1952 | Djebeln |
| Hula Town | 1986 | Sir Gaylordn |
| Humphrey Clinker | 1822 | Matchemn |
| Hurry On | 1913 | Matchemn |
| Hyperbole | 1945 | Hyperionn |
| Hyperion | 1930 | Hamptonn |