- Halm A. — Grosse Sonate Op.52
- Hamerik A. — Concert-Romanze Op.27
- Handel G.F. — Aria [Largo] from »Xerxes» (Borch)
- Handel G.F. — Aria from »Xerxes» (Roth)
- Handel G.F. — Concerto C-Dur for Cello and String Orchestra
- Handel G.F. — Sonata in G minor
- Handel G.F. — Sonata No.2 in D minor after Op.3 No.5 (Lindner)
- Handel G.F. — Violin Sonata №3 in F Cello transcription (Cahnbley)
- Hartmann E. — Concerto in D minor Op.26
- Haslinger C. — Cello Sonata Op.39
- Haydn J. (Costanzi G.B.) — Cello Concerto No.4 Hob.VIIb4 (Grutzmacher)
- Haydn J. (Popper D.) — Cello Concerto No.5
- Haydn J. — Cello Concerto No.2 in D (Gevaert)
- Haydn J. — Cello Concerto No.2 in D (Klengel) [+ Cadenzas]
- Haydn J. — Concerto No.1 in C (IMC)
- Haydn J. — Divertimento in D (Piatigorsky)
- Haydn J. — Sonata in C (Piatti, Kozolupov)
- Heifets I. — Sonata for cello and piano
- Heise P. — 2 Fantasy Pieces
- Heise P. — Sonata No.3 in A minor
- Herbert V. — Cello Concerto No.2 Op.30
- Herbert V. — Petite Valse for Cello or Violon and Piano
- Herbert V. — Serenade from Suite Op.3
- Herzogenberg H. — Cello Sonata No.1 in A minor Op.52
- Herzogenberg H. — Cello Sonata No.2 in D Op.64
- Herzogenberg H. — Cello Sonata No.3 in E flat Op.94
- Herzogenberg H. — Duo Op.12
- Herzogenberg H. — Legends Op.62
- Hindemith P. — 3 Pieces for Cello and Piano
- Hindemith P. — 3 Pieces for Cello and Piano Op.8 (B&H)
- Hindemith P. — A frog he went a-couting
- Hindemith P. — Cello Concerto (Op.1940)
- Hindemith P. — Cello Sonata [op.1948]
- Hindemith P. — Cello Sonata Op.11 No.3 [version 2 of year 1921]
- Hindemith P. — Сello Sonata and piano, op.113
- Hindemith P. — Kammermusik No.3 Op.36 No.2
- Hindemith P. — Variations on an Old-English nursery song A frog he went a-courting for cello and piano
- Hoffmann H. — Cello Concerto in D minor Op.31
- Hofmann R. — Cello Concertos № 1 and 2 Op. 135 and 136
- Hofmann R. — Sonatine II Op.42 No.2
- Holbrooke J. — Fantasie-Sonata Op.19
- Hollman J. — 4 Easy Pieces
- Hollman J. — 4 Pieces
- Hollman J. — 6 Pieces
- Hollman J. — Adagietto
- Hollman J. — Andante Religioso
- Hollman J. — Carmen-Fantasie
- Hollman J. — Chanson d’Amour
- Hollman J. — Etude «Le Rouet»
- Hollman J. — Extase
- Hollman J. — Intermezzo
- Hollman J. — Mazurka No.2
- Hollman J. — Valse «Souvenir de Berck»
- Hollman J. — Vieille Chanson
- Honegger A. — Sonata for Cello and Piano
- Huber H. — Sonata Op.33 (Schott)
- Huber H. — Sonata Op.84 (Buttner)
- Huber H. — Sonata Op.114 (Kistner)
- Huber H. — Sonata Op.130 (Gebruder Hug&Co.)
- Hubert C.-Parry H. – Cello Sonata in A
- Nummel J. — Adagio, Variations and Rondo on a Russian Theme Op.78
- Hummel J. — Cello Sonata (Grutzmacher)
- Hummel J. — Romance
- Hure J. — Air for Cello and Piano
- Hure J. — Cello Sonata in F
- Hure J. — Cello Sonata in F-sharp minor
- Hurlstone W.Y. — Cello Sonata
