| HAD A DREAM ABOUT YOU BABY | June 9, 1988 | Cal Expo (Sacramento) |
| HANDLE WITH CARE | No live performance |
| HANDY DANDY | No live performance |
| HARD RAIN'S A-GONNA FALL | October 1962 | Gaslight Cafe (New York City) |
| HARD TIMES IN NEW YORK TOWN | probably fall 1961 | |
| No live performance of this song is reported, but it appears quite regularly on other recordings, from informal tapes to radio broadcasts, in the fall and winter of 1961-62. It is hard to believe that it did not have at least a short stay in Dylan's live sets; Hajdu reports Dylan added it to his club repertoire after recording it for his first album in November. | ||
| HAZEL | November 25, 1976 | Last Waltz (San Francisco) |
| HE WAS A FRIEND OF MINE | probably summer 1961 | |
| Reported as part of Dylan's setlist at a late September 1961 Gerdes performance, and said to be preserved on an uncirculating segment of a tape made by Cynthia Gooding. | ||
| HEADING FOR THE LIGHT | No live performance |
| HEART OF MINE | July 1, 1981 | Earls Court (London) |
| HEARTLAND | January 13, 1993 | Country Music Celebration (Nashville) |
| First live performance of this song, like the studio recording a duet with Willie Nelson. Dylan has never performed a solo version of this song, but again duetted with Nelson on it during their summer 2004 tour. | ||
| HERO BLUES | April 12, 1963 | Town Hall (New York City) |
| HIGH WATER | October 19, 2001 | Staples Center (Los Angeles) |
| HIGHWAY 61 REVISITED | August 31, 1969 | Isle of Wight Festival |
| Although no live performances of this song were reported in 1965, Dylan definitely rehearsed the song with the Hawks and included it on at least one setlist as a possible encore. An undocumented 1965 live performance cannot be ruled out. | ||
| HONEST WITH ME | October 5, 2001 | Arena (Spokane) |
| HONEY, JUST ALLOW ME ONE MORE CHANCE | April 16, 1962 | Gerdes Folk City (NYC) |
| HURRICANE | September 10, 1975 | John Hammond Tribute (Chicago TV) |
| Dylan played the song twice during the TV recording session. The second version, with punched-in vocals replacing the disputed lyrics that led to the rerecording of the Desire track, circulates commonly; the first version does not circulate. | ||