Lyrics H
| songtitel: | appears on: | written by: |
| Huesito | Live Again/Renacer & Lo Mejor De Miami Sound Machine | |
| Hombre Enamorado | MSM & 7-Up Presenta Los Hits De Miami Sound Machine | |
| Has Logrado Olvidar | Otra Vez | Wesley Wright & Gloria Estefan |
| Hablas De Mi | Primitive Love (bonustrack) | |
| Here We Are | Cuts Both Ways, Greatest Hits, The Best Of Gloria
Estefan, History of Gloria Estefan |
Gloria Estefan |
| Heart With Your Name On It | Into The Light | Diane Warren |
| Hablemos El Mismo Idioma | Mi Tierra | Gloria & Emilio Estefan |
| Hablas De Mi | Mi Tierra, Amor Y Suerte | Jorge Luis Piloto |
| Have Yourself A Merry Little Christmas | Christmas Through Your Eyes | Hugh Martin & Ralph Blane |
| Hay, Ay, Ay, Amor | Amor Y Suerte | Gloria Estefan, Emilio Estefan, Archie Peña |
| Hold Me Thrill Me Kiss Me | Hold Me Thrill Me Kiss Me | Harry Noble, Jr. |
| How Can I Be Sure | Hold Me Thrill Me Kiss Me | Felix Cavaliere & Edward Brigati, Jr. |
| Higher | Destiny | Lawrence Dermer |
| Heaven's What I Feel | gloria! | Kike Santander |
| Hoy | Unwrapped, Amor Y Suerte | Gian Marco |