| Artist | Title | Song # |
| Hagar, Sammy | Your Love Is Driving Me Crazy | 070-12 |
| Haggard, Merle | Fightin' Side Of Me, The | 124-11 |
| Haggard, Merle | Okie From Muskogee | 132-7 |
| Haley, Bill & The Comets | Rock Around The Clock | 095-13 |
| Hall & Oates | Kiss On My List | 070-3 |
| Hall & Oates | One On One | 070-4 |
| Hall & Oates | Private Eyes | 111-2 |
| Hall & Oates | Sara Smile | 070-1 |
| Hall & Oates | She's Gone | 070-2 |
| Hall, Tom T. | Old Dogs, Children And Watermelon Wine | 125-6 |
| Hammer, M.C. | 2 Legit 2 Quit | 041-1 |
| Hammond, Fred | Glory To Glory | 160-3 |
| Hammond, Fred | Jesus Be A Fence | 160-11 |
| Hammond, Fred | No Weapon | 160-9 |
| Harptones, The | Life Is But A Dream | 066-8 |
| Harptones, The | Sunday Kind Of Love (Slow Version) | 166-18 |
| Harris, Emmylou | If I Could Only Win Your Love | 125-9 |
| Harris, Emmylou | Last Cheater's Waltz | 131-7 |
| Harris, Major | Love Won't Let Me Wait | 078-11 |
| Harrison, Wilbert | Kansas City | 069-6 |
| Hart, Beth | L.A. Song | 081-5 |
| Hart, Freddie | Easy Loving | 124-15 |
| Hartman, Dan | I Can Dream About You | 112-7 |
| Hayes, Darren | Insatiable | 037-3 |
| Hayes, Wade | Day That She Left Tulsa, The | 062-11 |
| Heart | These Dreams | 113-12 |
| Heatwave | Always & Forever | 003-6 |
| Hebb, Bobby | Sunny | 104-15 |
| Hendrix, Jimi | Angel | 019-2 |
| Henley, Don | Not Enough Love In The World | 169-4 |
| Herman's Hermits | Mrs. Brown You've Got A Lovely Daughter | 104-10 |
| Hill, Faith | Breathe | 043-1 |
| Hill, Faith | Piece Of My Heart | 016-8 |
| Hill, Faith | There Will Come A Day | 039-6 |
| Hill, Faith | There You'll Be | 071-12 |
| Hill, Faith | This Kiss | 061-2 |
| Hill, Faith & Tim McGraw | Let's Make Love | 123-5 |
| Hill, Faith & Vince Gill | Let Me Let Go | 061-10 |
| Hinder | Lips Of An Angel | 152-7 |
| Hobbs, Darwin | Nobody Like Jesus | 148-2 |
| Holly, Buddy | Maybe Baby | 101-10 |
| Holly, Buddy | Peggy Sue | 015-8 |
| Holman, Eddie | Hey There Lonely Girl | 105-13 |
| Holmes, Rupert | Escape (The Pina Colada Song) | 111-5 |
| Hoobastank | Crawling In The Dark | 074-10 |
| Hoobastank | Running Away | 118-15 |
| Hootie & The Blowfish | I Only Wanna Be With You | 113-10 |
| Horton, Johnny | North To Alaska | 124-6 |
| Houston, David | Almost Persuaded | 131-4 |
| Houston, Thelma | Don't Leave Me This Way | 109-13 |
| Houston, Whitney | I'm Every Woman | 011-6 |
| Houston, Whitney | Saving All My Love For You | 028-7 |
| Houston, Whitney & Freddie Jackson | Nobody Loves Me Like You Do | 008-5 |
| Houston, Whitney & Mariah Carey | When You Believe | 115-8 |
| Humperdinck, Engelbert | After The Lovin' | 164-3 |
| Humperdinck, Engelbert | Release Me | 164-11 |
| Humperdinck, Engelbert | This Moment In Time | 164-17 |
| Humperdinck, Engelbert | Winter World Of Love | 107-15 |
| Hyland, Brian | Sealed With A Kiss | 104-6 |
| Hyman, Phyllis | Old Friend | 078-12 |