| Title | Artist | Song # |
| Hair Of The Dog | Nazareth | D2-9 |
| Hand Me Down World | Guess Who, The | SC539-6 |
| Hands | Jewel | MH44-14 |
| Handyman | Taylor, James | 16 B-5 |
| Handyman | Taylor, James | M32-11 |
| Hang On Sloopy | McCoys, The | 4 A-7 |
| Hanging Tough | New Kids On The Block | 34 B-5 |
| Hannah Jane | Hootie & The Blowfish | 52 B-14 |
| Happiest Girl In The Whole USA, The | Fargo, Donna | 204 A-5 |
| Happy Anniversary | Little River Band, The | SC197-9 |
| Happy Birthday Sweet Sixteen | Sedaka, Neil | 8 A-9 |
| Happy Days Are Here Again | Traditional | 38 A-10 |
| Happy Happy Birthday Baby | Tune Weavers, The | 27 B-4 |
| Happy Jack | Who, The | DK10-9 |
| Happy Just To Dance With You | Beatles, The | M59-8 |
| Harbor Lights | Platters, The | 21 B-2 |
| Hard Day's Night, A | Beatles, The | 9 A-5 |
| Hard Habit To Break | Chicago | 40 B-8 |
| Hard Rock Bottom Of Your Heart | Travis, Randy | 208 A-6 |
| Hard To Be Humble | Davis, Mac | D2-6 |
| Hard To Handle | Black Crowes, The | SC486-6 |
| Hard To Handle | Black Crowes, The | AH4-8 |
| Hard To Handle | Redding, Otis | 33 B-12 |
| Hard Workin Man | Brooks & Dunn | 210A-14 |
| Harden My Heart | Quarterflash | 53 B-10 |
| Harder They Come, The | Cliff, Jimmy | 27 B-2 |
| Hark The Herald Angels Sing | Traditional | JS4-12 |
| Harlem Shuffle, The | Rolling Stones, The | 22 A-3 |
| Harlem Shuffle, The | Rolling Stones, The | BS217-3 |
| Harlem Shuffle, The | Rolling Stones, The | PT2006-5 |
| Harmony | John, Elton | AH5-10 |
| Has Anybody Seen Amy | John & Audrey Wiggins | 210B-11 |
| Havah Nagilah | Various Artists | 6 B-1 |
| Have A Heart | Raitt, Bonnie | 45 B-13 |
| Have Fun Go Mad | Blair | SC462-2 |
| Have I Told You Lately | Stewart, Rod | JS5-1 |
| Have I Told You Lately | Various Artists | 13 B-6 |
| Have Mercy | Judds, The | 50 A-4 |
| Have You Ever Seen The Rain | Creedence Clearwater Revival | 37 B-1 |
| Have You Ever Seen The Rain | Creedence Clearwater Revival | M95-13 |
| Have You Ever? | Brandy | MH44-7 |
| Have You Never Been Mellow | John, Olivia Newton | 4 A-12 |
| Have You Seen Her | Chi-Lites, The | 29 B-5 |
| Have Yourself A Merry Little Christmas | Mathis, Johnny | 52 A-4 |
| Have Yourself A Merry Little Christmas | Mathis, Johnny | JS9-9 |
| Haven't Got Time For The Pain | Simon, Carly | 29 A-8 |
| Havin' A Party | Southside Johnny | D3-1 |
| Havin' A Party | Southside Johnny | AH9-13 |
| He Ain't Heavy, He's My Brother | Diamond, Neil | 16 A-6 |
| He Stopped Loving Her Today | Jones, George | 201 B-6 |
| He'll Have To Go | Reeves, Jim | 201 A-13 |
| He's A Good Ol' Boy | Wright, Chely | M73-12 |
| He's A Heartache | Frickie, Janie | 2O6 B-5 |
| He's A Rebel | Crystals, The | 14 A-12 |
| He's Got The Whole World In His Hands | Traditional | 37 A-7 |
| He's My Son | Schultz, Mark | SC637-5 |
| He's So Fine | Chiffons, The | M164-7 |
| Head Over Heels | Tears For Fears | SC568-15 |
| Heal It Up | Concrete Blonde | SC122-11 |
| Heard It In A Love Song | Marshall Tucker Band, The | GH4-1 |
| Heart Of Gold | Young, Neil | M111-7 |
| Heart Of Rock & Roll | Lewis, Huey & The News | 1 B-1 |
| Heart Of The Matter | Henley, Don | AH15-11 |
| Heart Over Mind | Morgan, Lorrie | M73-14 |
| Heart Won't Lie, The | McEntire, Reba & Vince Gill | 207 B-6 |
| Heartache Tonight | Eagles, The | BS17-3 |
| HEARTACHE TONIGHT | Eagles, The | JS2-8 |
| Heartache Tonight | Eagles, The | M32-10 |
| Heartbreak Hotel | Presley, Elvis | 1 A-2 |
| Heartbreak Town | Dixie Chicks | JS8-16 |
| Heartbreaker | Benatar, Pat | SC331-3 |
| Heartbreaker | Led Zeppelin | 30 B-10 |
| Heartbreaker | Parton, Dolly | 204 A-11 |
| Heartbreaker | Warwick, Dionne | 11 B-2 |
| Hearts Are Gonna Roll | Ketchum, Hal | 209B-10 |
| Heat Is On, The | Frey, Glen | 8 B-11 |
| Heat Of The Moment | Asia | JS7-5 |
| Heatwave | Ronstadt, Linda | SC153-5 |
| Heaven | Adams, Bryan | 26 A-3 |
| Heaven Is A Place On Earth | Carlisle, Belinda | 10 A-1 |
| Heavy | Collective Soul | SC639-13 |
| Hell Is For Children | Benatar, Pat | AH17-6 |
| Hella Good | No Doubt | JS12-14 |
| Hello | Richie, Lionel | 39 A-2 |
| Hello Again | Diamond, Neil | 49 A-12 |
| Hello Darlin' | Twitty, Conway | JS13-3 |
| Hello Darlin' | Twitty, Conway | 202 A-5 |
| Hello Dolly | Armstrong, Louis | 2 B-6 |
| Hello Goodbye | Beatles, The | 18 A-3 |
| Hello It's Me | Rundgren, Todd | 18 A-7 |
| Hello Mary Lou | Nelson, Ricky | 7 A-3 |
| Hello Muddah | Sherman, Allan | 24 B-10 |
| Hello Walls | Young, Faron | 204 B-12 |
| Hello, I Love You | Doors, The | SO206-3 |
| Hells Bells | AC/DC | AH15-3 |
| Help Is On Its Way | Little River Band, The | SC568-14 |
| Help Me | Mitchell, Joni | SC174-11 |
| Help Me | Mitchell, Joni | AH10-14 |
| Help Me Make It Through The Night | Smith, Sammi | 201 B-5 |
| Help Me Rhonda | Beach Boys, The | 2 A-14 |
| Help! | Beatles, The | 3 A-7 |
| Helter Skelter | Beatles, The | M59-10 |
| Here And Now | Vandross, Luther | 45 B-10 |
| Here Comes My Girl | Petty, Tom & The Heartbreakers | 33 A-3 |
| Here Comes That Rainy Day Feeling | Fortunes, The | SC221-15 |
| Here Comes The Rain Again | Eurythmics, The | 49 B-6 |
| Here Comes The Sun | Beatles, The | M59-6 |
| Here I Go Again | Queen | 34 B-13 |
| Here Is One | Goo Goo Dolls | JS12-13 |
| Here We Are | Alabama | 208 B-9 |
| Here With Me | Dido | SC548-9 |
| Here You Come Again | Parton, Dolly | 5 B-12 |
| Here's A Quarter | Tritt, Travis | 203 A-4 |
| Here, There And Everywhere | Beatles, The | 29 A-9 |
| Hero Of The Day | Metallica | SC530-1 |
| Heroes | Wallflowers, The | MH45-12 |
| Hey Baby | No Doubt | JS15-9 |
| Hey Baby | Nugent, Ted | D2-8 |
| Hey Bartender | Blues Brothers, The | AH9-1 |
| Hey Girl | Scott, Freddy | 37 B-13 |
| Hey Good Lookin' | Williams, Hank | 4 B-11 |
| Hey Hey What Can I Do | Led Zeppelin | JS20-9 |
| Hey Jealousy | Gin Blossoms, The | 46 A-2 |
| Hey Jude | Beatles, The | M59-7 |
| Hey Jude | Beatles, The | 4 A-13 |
| Hey Leonardo (She Likes Me For Me) | Blessid Union Of Souls, The | SC548-1 |
| Hey Man Nice Shot | Filter | SC562-7 |
| Hey You | Pink Floyd | SC586-11 |
| High Hopes | Sinatra, Frank | 22 B-9 |
| High On You | Survivor | 30 B-2 |
| Higher | Creed | SC569-13 |
| Higher And Higher | Wilson, Jackie | 41 A-12 |
| Higher Ground | Streisand, Barbra | SC462-10 |
| Higher Love | Winwood, Steve | 53 A-6 |
| Hippy Hippy Shake | Georgia Satellites, The | M135-1 |
| Hippychick | Soho | SC530-10 |
| His Latest Flame | Presley, Elvis | 15 B-14 |
| Hit Me With Your Best Shot | Benatar, Pat | 19 B-7 |
| Hit The Road, Jack | Charles, Ray | M108-7 |
| Hold Me Now | Thompson Twins, The | M63-7 |
| Hold Me, Thrill Me, Kiss Me | Carter, Mel | M108-15 |
| Hold My Hand | Hootie & The Blowfish | 49 A-1 |
| Hold On | En Vogue | 33 B-3 |
| Hold On | Wilson Phillips | 39 B-1 |
| Hold On Loosely | 38 Special | AH15-16 |
| Hold On To The Night | Marx, Richard | 19 B-8 |
| Hold On, I'm Coming | Sam & Dave | 30 A-10 |
| Hold The Line | Toto | M111-6 |
| Hold The Line | Toto | 28 B-11 |
| Holding Back The Years | Simply Red | 2 B-3 |
| Holiday | Madonna | 45 A-6 |
| Holly Holy | Diamond, Neil | 49 A-8 |
| Holly Jolly Christmas | Ives, Burl | JS4-21 |
| Holy Diver | Dio | JS14-7 |
| Home Ain't Where His Heart Is | Twain, Shania | M193-6 |
| Home Sweet Home | Motley Crue | JS19-4 |
| Homeward Bound | Simon & Garfunkel | DM101-9 |
| Honestly | Rimes, LeAnn | M193-5 |
| Honesty | Joel, Billy | 28 A-3 |
| Honey | Goldsboro, Bobby | 20 A-2 |
| Honky Tonk Woman | Rolling Stones, The | D1-8 |
| Honky Tonk Woman | Rolling Stones, The | PT2006-9 |
| Honky Tonk Woman | Rolling Stones, The | BS217-10 |
| Hoochie Coochie Man | Waters, Muddy | M144-11 |
| Hooked On A Feeling | Thomas, B.J. | 9 B-6 |
| Hopelessly Devoted To You | John, Olivia Newton | 1 A-11 |
| Horse With No Name, A | America | 23 B-1 |
| Hot Blooded | Foreigner | 36 B-13 |
| Hot Child In The City | Gilder, Nick | 9 A-11 |
| Hot For Teacher | Van Halen | JS6-8 |
| Hot Fun In The Summertime | Sly & The Family Stone | 52 A-9 |
| Hot Legs | Stewart, Rod | JS5-4 |
| Hot Rod Lincoln | Commander Cody | AH13-4 |
| Hotel California | Eagles, The | BS17-4 |
| Hotel California | Eagles, The | M32-8 |
| HOTEL CALIFORNIA | Eagles, The | JS2-13 |
| Hound Dog | Presley, Elvis | 7 B-4 |
| House At Pooh Corner | Loggins, Kenny | GH6-8 |
| House Is Rockin' | Vaughn, Stevie Ray | M144-3 |
| House Of The Holy | Led Zeppelin | JS20-11 |
| House Of The Rising Sun, The | Animals, The | 18 A-4 |
| Houston | Gatlin, Larry & The Gatlin Brothers | 204 B-3 |
| How Am I Supposed To Live Without You | Branigan, Laura | 16 A-8 |
| How Can I Be Sure | Cassidy, David | 48 A-13 |
| How Can I Be Sure | Young Rascals, The | L63-1 |
| How Can I Unlove You | Anderson, Lynn | 205 A-9 |
| How Can We Be Lovers | Bolton, Michael | 45 B-11 |
| How Can You Mend A Broken Heart | Bee Gees, The | 9 B-8 |
| How Deep Is Your Love | Bee Gees, The | 19 B-1 |
| How Do You Do It To Me | Gerry & The Pacemakers | SC221-11 |
| How High The Moon | Fitzgerald, Ella | 31 A-7 |
| How Long | Ace | SC188-11 |
| How Much I Feel | Ambrosia | JS16-6 |
| How Sweet It Is | Taylor, James | GH3-6 |
| How Sweet It Is To Be Loved By You | Taylor, James | 2 A-9 |
| How Sweet It Is To Be Loved By You | Taylor, James | M32-14 |
| How Will I Know | Houston, Whitney | 6 A-13 |
| How You Remind Me | Nickelback | JS12-8 |
| How's It Going To Be | Third Eye Blind | SC639-15 |
| How's It Going To Be | Third Eye Blind | MH45-16 |
| Human | Pretenders, The | SC548-12 |
| Humans Being | Van Halen | JS19-11 |
| Humpty Dance | Digital Underground | SC486-14 |
| Hundred Pounds Of Clay, A | McDaniels, Gene | 27 A-5 |
| Hungry | Revere, Paul & The Raiders | 36 A-4 |
| Hungry Like The Wolf | Duran Duran | M63-6 |
| Hurt Me | Rimes, LeAnn | M193-2 |
| Hurt Me Bad In A Real Good Way | Loveless, Patty | 204 B-6 |
| Hurt So Bad | Ronstadt, Linda | 6 B-9 |
| Hurt So Good | Mellencamp, John Cougar | M58-1 |
| Hurts So Good | Mellencamp, John Cougar | SC632-6 |
| Hush | Deep Purple | M95-12 |