- Guess I'll Hang My Tears Out to Dry prod. by Teddy Reig
- Habibi
- Hands Across The Table prod. by Jimmy Jones
- Happiness Is Just A Thing Called Joe prod. by Hal Mooney
- Have You Met Miss Jones?
- He Loves and She Loves prod. by Bob Shad
- Here, There and Everywhere
- He's My Guy prod. by Bob Shad
- He Touched Me
- Hey Jude
- Hey There prod. by Quincy Jones
- Honeysuckle Rose
- How Beautiful Is Night prod. by Quincy Jones
- How High the Moon
- How Important Can It Be?
- How Long Has This Been Going On? prod. by Bob Shad
- How Soon prod. by Quincy Jones
- I Can Make You Love Me
- I Can't Give You Anything But Love
- I Could Write A Book