| Hail, Columbia | 141 | | Hail, Columbia! happy land!
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| Hallelujah [1] | 107 | C.M. | And let this feeble body fail | Wm. Walker
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| Hallelujah [2] | 139 | 8, 6, 8, 6, 8, 6, 8, 7 | He comes! he comes! the Judge severe | Dr. Harrison
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| Hanover | 4b | C.M. | Come, humble sinner, in whose breast
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| Happiness | 40b | C.M. | No more beneath th' oppressive hand
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| Happy Land | 89b | 6, 4, 6, 4, 6, 7, 6, 4 | There is a happy land | Leonard P. Breedlove
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| Harwell | 192 | 8, 7, 7 | Hark! ten thousand harps and voices
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| Heavenly Armour | 93 | | And if you meet with troubles | Wm. Walker
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| Heavenly Vision | 206 | | I beheld, and lo a great multitude | Jacob French
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| Hebrew Children | 266 | 7, 6, 8, 8, 8, 6 | Where are the Hebrew children? | David Walker
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| Hebron | 288 | L.M. | Thus far the Lord has led me on
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| Hicks' Farewell | 19 | C.M. | The time is swiftly rolling on | Wm. Walker
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| Holy Manna | 103 | 8, 7 | Brethren, we have met to worship | More
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| Hope | 272 | S.M. | My God, my life, my love
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| Hopewell | 326 | L.M. | Jesus, my all, to heav'n is gone | L. J. Jones
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| Humble Penitent | 172 | 8, 7 (with refrain) | Show pity, Lord, O Lord, forgive | Wm. Walker
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| Huntington | 169 | L.M. | Lord, what a thoughtless wretch was I
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| Hymn | 160 | 13, 12, 11 | Thou art gone to the grave, but we will not deplore thee | Dr. John Clarke
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