- 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